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83957424 = 24317313319
BaseRepresentation
bin1010000000100…
…01011010110000
312211222110221020
411000101122300
5132443114144
612155255440
72036424555
oct500213260
9184873836
1083957424
1143434501
122414a580
1314517765
14b216a2c
157586419
hex50116b0

83957424 has 80 divisors (see below), whose sum is σ = 237127680. Its totient is φ = 25482240.

The previous prime is 83957417. The next prime is 83957431. The reversal of 83957424 is 42475938.

It is an interprime number because it is at equal distance from previous prime (83957417) and next prime (83957431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23637 + ... + 26955.

It is an arithmetic number, because the mean of its divisors is an integer number (2964096).

Almost surely, 283957424 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 83957424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118563840).

83957424 is an abundant number, since it is smaller than the sum of its proper divisors (153170256).

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

83957424 is a wasteful number, since it uses less digits than its factorization.

83957424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3372 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 83957424 is about 9162.8283842927. The cubic root of 83957424 is about 437.8779084654.

The spelling of 83957424 in words is "eighty-three million, nine hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 3162 3319 4216 6324 6638 8432 9957 12648 13276 19914 25296 26552 39828 53104 56423 79656 102889 112846 159312 169269 205778 225692 308667 338538 411556 451384 617334 677076 823112 902768 1234668 1354152 1646224 1749113 2469336 2708304 3498226 4938672 5247339 6996452 10494678 13992904 20989356 27985808 41978712 83957424