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97135056 = 24326531033
BaseRepresentation
bin1011100101000…
…10100111010000
320202202222020200
411302202213100
5144331310211
613345535200
72256430404
oct562424720
9222688220
1097135056
114a915007
1228644500
131717c785
14cc87104
1587dab56
hex5ca29d0

97135056 has 60 divisors (see below), whose sum is σ = 272523108. Its totient is φ = 32297472.

The previous prime is 97135019. The next prime is 97135069. The reversal of 97135056 is 65053179.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63680400 + 33454656 = 7980^2 + 5784^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 97135056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93516 + ... + 94548.

Almost surely, 297135056 is an apocalyptic number.

It is an amenable number.

97135056 is an abundant number, since it is smaller than the sum of its proper divisors (175388052).

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

97135056 is a wasteful number, since it uses less digits than its factorization.

97135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 97135056 is about 9855.7118464371. The cubic root of 97135056 is about 459.6832349755.

The spelling of 97135056 in words is "ninety-seven million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 653 1033 1306 1959 2066 2612 3099 3918 4132 5224 5877 6198 7836 8264 9297 10448 11754 12396 15672 16528 18594 23508 24792 31344 37188 47016 49584 74376 94032 148752 674549 1349098 2023647 2698196 4047294 5396392 6070941 8094588 10792784 12141882 16189176 24283764 32378352 48567528 97135056