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97991376 = 2437261683
BaseRepresentation
bin1011101011100…
…11101011010000
320211101110220020
411311303223100
5200041211001
613420143440
72266625100
oct565635320
9224343806
1097991376
115034a40a
1228997b80
13173bc482
14d02b200
158909736
hex5d73ad0

97991376 has 120 divisors (see below), whose sum is σ = 299739744. Its totient is φ = 27498240.

The previous prime is 97991359. The next prime is 97991407. The reversal of 97991376 is 67319979.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143131 + ... + 143813.

Almost surely, 297991376 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 97991376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869872).

97991376 is an abundant number, since it is smaller than the sum of its proper divisors (201748368).

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

97991376 is a wasteful number, since it uses less digits than its factorization.

97991376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its digits is 642978, while the sum is 51.

The square root of 97991376 is about 9899.0593492513. The cubic root of 97991376 is about 461.0301048627.

It can be divided in two parts, 9799 and 1376, that added together give a triangular number (11175 = T149).

The spelling of 97991376 in words is "ninety-seven million, nine hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 683 732 784 854 976 1176 1281 1366 1464 1708 2049 2352 2562 2732 2928 2989 3416 4098 4781 5124 5464 5978 6832 8196 8967 9562 10248 10928 11956 14343 16392 17934 19124 20496 23912 28686 32784 33467 35868 38248 41663 47824 57372 66934 71736 76496 83326 100401 114744 124989 133868 143472 166652 200802 229488 249978 267736 291641 333304 401604 499956 535472 583282 666608 803208 874923 999912 1166564 1606416 1749846 1999824 2041487 2333128 3499692 4082974 4666256 6124461 6999384 8165948 12248922 13998768 16331896 24497844 32663792 48995688 97991376