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1352848608 = 25332953993
BaseRepresentation
bin101000010100010…
…1101010011100000
310111021121211102000
41100220231103200
510232312123413
6342124124000
745345011016
oct12050552340
93437554360
101352848608
11634714201
12319096600
1318737cb47
14cb95a8b6
157db7e073
hex50a2d4e0

1352848608 has 96 divisors (see below), whose sum is σ = 4081946400. Its totient is φ = 435391488.

The previous prime is 1352848597. The next prime is 1352848619. The reversal of 1352848608 is 8068482531.

1352848608 is a `hidden beast` number, since 1 + 35 + 2 + 8 + 4 + 8 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (1352848597) and next prime (1352848619).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1941 + ... + 52052.

It is an arithmetic number, because the mean of its divisors is an integer number (42520275).

Almost surely, 21352848608 is an apocalyptic number.

1352848608 is a gapful number since it is divisible by the number (18) 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 1352848608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040973200).

1352848608 is an abundant number, since it is smaller than the sum of its proper divisors (2729097792).

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

1352848608 is a wasteful number, since it uses less digits than its factorization.

1352848608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54041 (or 54027 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1352848608 is about 36781.0903590418. The cubic root of 1352848608 is about 1105.9862635866.

The spelling of 1352848608 in words is "one billion, three hundred fifty-two million, eight hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 53993 107986 161979 215972 323958 431944 485937 647916 863888 971874 1295832 1457811 1565797 1727776 1943748 2591664 2915622 3131594 3887496 4697391 5183328 5831244 6263188 7774992 9394782 11662488 12526376 14092173 15549984 18789564 23324976 25052752 28184346 37579128 42276519 46649952 50105504 56368692 75158256 84553038 112737384 150316512 169106076 225474768 338212152 450949536 676424304 1352848608