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97350432 = 2531759651
BaseRepresentation
bin1011100110101…
…11001100100000
320210011220200120
411303113030200
5144410203212
613354320240
72261315334
oct563271440
9223156616
1097350432
114aa51903
1228729080
131722680a
14cd017c4
15882e88c
hex5cd7320

97350432 has 48 divisors (see below), whose sum is σ = 270581472. Its totient is φ = 30540800.

The previous prime is 97350377. The next prime is 97350439. The reversal of 97350432 is 23405379.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×973504322 = 18954213221173248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97350393 and 97350402.

It is not an unprimeable number, because it can be changed into a prime (97350439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28194 + ... + 31457.

It is an arithmetic number, because the mean of its divisors is an integer number (5637114).

Almost surely, 297350432 is an apocalyptic number.

It is an amenable number.

97350432 is an abundant number, since it is smaller than the sum of its proper divisors (173231040).

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

97350432 is a wasteful number, since it uses less digits than its factorization.

97350432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59681 (or 59673 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 97350432 is about 9866.6322521922. The cubic root of 97350432 is about 460.0227335961.

The spelling of 97350432 in words is "ninety-seven million, three hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 59651 119302 178953 238604 357906 477208 715812 954416 1014067 1431624 1908832 2028134 2863248 3042201 4056268 5726496 6084402 8112536 12168804 16225072 24337608 32450144 48675216 97350432