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97837056 = 213321327
BaseRepresentation
bin1011101010011…
…10000000000000
320211002122012200
411311032000000
5200021241211
613412553200
72265413142
oct565160000
9224078180
1097837056
1150254479
1228922800
1317367165
14cdcac92
1588c8b56
hex5d4e000

97837056 has 84 divisors (see below), whose sum is σ = 282836112. Its totient is φ = 32587776.

The previous prime is 97837049. The next prime is 97837079. The reversal of 97837056 is 65073879.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73065 + ... + 74391.

Almost surely, 297837056 is an apocalyptic number.

97837056 is a gapful number since it is divisible by the number (96) 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 97837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141418056).

97837056 is an abundant number, since it is smaller than the sum of its proper divisors (184999056).

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

97837056 is a wasteful number, since it uses less digits than its factorization.

97837056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 97837056 is about 9891.2615979965. The cubic root of 97837056 is about 460.7879626485.

The spelling of 97837056 in words is "ninety-seven million, eight hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1327 1536 2048 2304 2654 3072 3981 4096 4608 5308 6144 7962 8192 9216 10616 11943 12288 15924 18432 21232 23886 24576 31848 36864 42464 47772 63696 73728 84928 95544 127392 169856 191088 254784 339712 382176 509568 679424 764352 1019136 1358848 1528704 2038272 2717696 3057408 4076544 5435392 6114816 8153088 10870784 12229632 16306176 24459264 32612352 48918528 97837056