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85369908 = 2231331127139
BaseRepresentation
bin1010001011010…
…10010000110100
312221122020111110
411011222100310
5133323314113
612245435020
72054426601
oct505522064
9187566443
1085369908
1144209748
122470ba70
13148c0650
14b4a36a8
157764bc3
hex516a434

85369908 has 96 divisors (see below), whose sum is σ = 224788480. Its totient is φ = 25038720.

The previous prime is 85369897. The next prime is 85369919. The reversal of 85369908 is 80996358.

It is an interprime number because it is at equal distance from previous prime (85369897) and next prime (85369919).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614103 + ... + 614241.

Almost surely, 285369908 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 85369908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112394240).

85369908 is an abundant number, since it is smaller than the sum of its proper divisors (139418572).

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

85369908 is a wasteful number, since it uses less digits than its factorization.

85369908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 85369908 is about 9239.5837568583. The cubic root of 85369908 is about 440.3198569561.

The spelling of 85369908 in words is "eighty-five million, three hundred sixty-nine thousand, nine hundred eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 127 139 156 186 254 278 372 381 403 417 508 556 762 806 834 1209 1524 1612 1651 1668 1807 2418 3302 3614 3937 4309 4836 4953 5421 6604 7228 7874 8618 9906 10842 11811 12927 15748 17236 17653 19812 21684 23622 25854 35306 47244 51181 51708 52959 56017 70612 102362 105918 112034 153543 168051 204724 211836 224068 229489 307086 336102 458978 547243 614172 672204 688467 917956 1094486 1376934 1641729 2188972 2753868 3283458 6566916 7114159 14228318 21342477 28456636 42684954 85369908