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97062438 = 231123431487
BaseRepresentation
bin1011100100100…
…00111000100110
320202122021122010
411302100320212
5144321444223
613344215050
72256005604
oct562207046
9222567563
1097062438
114a8754a0
122860a486
13171556c5
14cc68874
1587c4393
hex5c90e26

97062438 has 64 divisors (see below), whose sum is σ = 226271232. Its totient is φ = 27461280.

The previous prime is 97062419. The next prime is 97062439. The reversal of 97062438 is 83426079.

It is a super-2 number, since 2×970624382 = 18842233741007688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 97062396 and 97062405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97062439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64531 + ... + 66017.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 297062438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97062438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113135616).

97062438 is an abundant number, since it is smaller than the sum of its proper divisors (129208794).

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

97062438 is a wasteful number, since it uses less digits than its factorization.

97062438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 97062438 is about 9852.0271010589. The cubic root of 97062438 is about 459.5686536198.

The spelling of 97062438 in words is "ninety-seven million, sixty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 23 33 43 46 66 69 86 129 138 253 258 473 506 759 946 989 1419 1487 1518 1978 2838 2967 2974 4461 5934 8922 10879 16357 21758 32637 32714 34201 49071 63941 65274 68402 98142 102603 127882 191823 205206 376211 383646 703351 752422 1128633 1406702 1470643 2110053 2257266 2941286 4220106 4411929 8823858 16177073 32354146 48531219 97062438