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97157312 = 2671712757
BaseRepresentation
bin1011100101010…
…00000011000000
320202211002202222
411302220003000
5144333013222
613350230212
72256552320
oct562500300
9222732688
1097157312
114a92a7aa
1228655368
1317189945
14cc91280
1587e2542
hex5ca80c0

97157312 has 56 divisors (see below), whose sum is σ = 233318304. Its totient is φ = 39186432.

The previous prime is 97157311. The next prime is 97157341. The reversal of 97157312 is 21375179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×971573123 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (97157311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1238 + ... + 13994.

Almost surely, 297157312 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 97157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116659152).

97157312 is an abundant number, since it is smaller than the sum of its proper divisors (136160992).

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

97157312 is a wasteful number, since it uses less digits than its factorization.

97157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12793 (or 12783 counting only the distinct ones).

The product of its digits is 13230, while the sum is 35.

The square root of 97157312 is about 9856.8408732210. The cubic root of 97157312 is about 459.7183404916.

The spelling of 97157312 in words is "ninety-seven million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 12757 25514 51028 89299 102056 178598 204112 216869 357196 408224 433738 714392 816448 867476 1428784 1518083 1734952 2857568 3036166 3469904 5715136 6072332 6939808 12144664 13879616 24289328 48578656 97157312