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85975604 = 221113297173
BaseRepresentation
bin1010001111111…
…10001000110100
312222210000100122
411013332020310
5134002204404
612310431112
72062531511
oct507761064
9188700318
1085975604
1144592820
1224962498
1314a73250
14b5c0308
1578343be
hex51fe234

85975604 has 96 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 33868800.

The previous prime is 85975559. The next prime is 85975651. The reversal of 85975604 is 40657958.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a cake number, because a cake can be divided into 85975604 parts by 802 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177712 + ... + 1177784.

It is an arithmetic number, because the mean of its divisors is an integer number (1958040).

Almost surely, 285975604 is an apocalyptic number.

It is an amenable number.

85975604 is an abundant number, since it is smaller than the sum of its proper divisors (101996236).

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

85975604 is a wasteful number, since it uses less digits than its factorization.

85975604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 85975604 is about 9272.3030580326. The cubic root of 85975604 is about 441.3587542872.

The spelling of 85975604 in words is "eighty-five million, nine hundred seventy-five thousand, six hundred four".

Divisors: 1 2 4 11 13 22 26 29 44 52 58 71 73 116 142 143 146 284 286 292 319 377 572 638 754 781 803 923 949 1276 1508 1562 1606 1846 1898 2059 2117 3124 3212 3692 3796 4118 4147 4234 5183 8236 8294 8468 10153 10366 10439 16588 20306 20732 20878 22649 23287 26767 27521 40612 41756 45298 46574 53534 55042 57013 67379 90596 93148 107068 110084 114026 134758 150307 228052 269516 294437 300614 302731 588874 601228 605462 741169 1177748 1210924 1482338 1653377 1953991 2964676 3306754 3907982 6613508 7815964 21493901 42987802 85975604