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1445246464 = 297183479
BaseRepresentation
bin101011000100100…
…1011011000000000
310201201111010102211
41112021023120000
510424440341324
6355224351504
750546251354
oct12611133000
93651433384
101445246464
11681893072
12344015594
131a056132c
14d9d2d464
1586d31294
hex5624b600

1445246464 has 80 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 702392320.

The previous prime is 1445246389. The next prime is 1445246497. The reversal of 1445246464 is 4646425441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3016977 + ... + 3017455.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 21445246464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

1445246464 is an abundant number, since it is smaller than the sum of its proper divisors (1524563456).

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

1445246464 is an frugal number, since it uses more digits than its factorization.

1445246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The square root of 1445246464 is about 38016.3973043212. The cubic root of 1445246464 is about 1130.6129923890.

The spelling of 1445246464 in words is "one billion, four hundred forty-five million, two hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 71 83 128 142 166 256 284 332 479 512 568 664 958 1136 1328 1916 2272 2656 3832 4544 5312 5893 7664 9088 10624 11786 15328 18176 21248 23572 30656 34009 36352 39757 42496 47144 61312 68018 79514 94288 122624 136036 159028 188576 245248 272072 318056 377152 544144 636112 754304 1088288 1272224 1508608 2176576 2544448 2822747 3017216 4353152 5088896 5645494 8706304 10177792 11290988 17412608 20355584 22581976 45163952 90327904 180655808 361311616 722623232 1445246464