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1125461952 = 26341072029
BaseRepresentation
bin100001100010101…
…0010111111000000
32220102202101120000
41003011102333000
54301104240302
6303402320000
736614161116
oct10305227700
92812671500
101125461952
1152832624a
12274ab9000
1314c227224
14a9689ab6
1568c1531c
hex43152fc0

1125461952 has 140 divisors (see below), whose sum is σ = 3369061080. Its totient is φ = 371464704.

The previous prime is 1125461927. The next prime is 1125461977. The reversal of 1125461952 is 2591645211.

1125461952 is a `hidden beast` number, since 11 + 25 + 4 + 619 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1125461927) and next prime (1125461977).

It is a Harshad number since it is a multiple of its sum of digits (36).

1125461952 is a Rhonda number in base 10.

Its product of digits (21600) is a multiple of the sum of its prime factors (2160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 553674 + ... + 555702.

It is an arithmetic number, because the mean of its divisors is an integer number (24064722).

Almost surely, 21125461952 is an apocalyptic number.

1125461952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684530540).

1125461952 is an abundant number, since it is smaller than the sum of its proper divisors (2243599128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1125461952 is a wasteful number, since it uses less digits than its factorization.

1125461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2141 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 1125461952 is about 33547.9053295433. The cubic root of 1125461952 is about 1040.1842474355.

The spelling of 1125461952 in words is "one billion, one hundred twenty-five million, four hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 144 162 192 214 216 288 321 324 428 432 576 642 648 856 864 963 1284 1296 1712 1728 1926 2029 2568 2592 2889 3424 3852 4058 5136 5184 5778 6087 6848 7704 8116 8667 10272 11556 12174 15408 16232 17334 18261 20544 23112 24348 30816 32464 34668 36522 46224 48696 54783 61632 64928 69336 73044 92448 97392 109566 129856 138672 146088 164349 184896 194784 217103 219132 277344 292176 328698 389568 434206 438264 554688 584352 651309 657396 868412 876528 1168704 1302618 1314792 1736824 1753056 1953927 2605236 2629584 3473648 3506112 3907854 5210472 5259168 5861781 6947296 7815708 10420944 10518336 11723562 13894592 15631416 17585343 20841888 23447124 31262832 35170686 41683776 46894248 62525664 70341372 93788496 125051328 140682744 187576992 281365488 375153984 562730976 1125461952