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85469496 = 23372953331
BaseRepresentation
bin1010001100000…
…10100100111000
312221211022002220
411012002210320
5133340010441
612251524040
72055323130
oct506024470
9187738086
1085469496
1144277552
1224759620
1314926a88
14b4cbac0
157784466
hex5182938

85469496 has 128 divisors (see below), whose sum is σ = 258163200. Its totient is φ = 23063040.

The previous prime is 85469491. The next prime is 85469563. The reversal of 85469496 is 69496458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85469491) 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, 258051 + ... + 258381.

It is an arithmetic number, because the mean of its divisors is an integer number (2016900).

Almost surely, 285469496 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 85469496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129081600).

85469496 is an abundant number, since it is smaller than the sum of its proper divisors (172693704).

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

85469496 is a wasteful number, since it uses less digits than its factorization.

85469496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 85469496 is about 9244.9713898962. The cubic root of 85469496 is about 440.4910083400.

The spelling of 85469496 in words is "eighty-five million, four hundred sixty-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 53 56 58 84 87 106 116 159 168 174 203 212 232 318 331 348 371 406 424 609 636 662 696 742 812 993 1113 1218 1272 1324 1484 1537 1624 1986 2226 2317 2436 2648 2968 3074 3972 4452 4611 4634 4872 6148 6951 7944 8904 9222 9268 9599 10759 12296 13902 17543 18444 18536 19198 21518 27804 28797 32277 35086 36888 38396 43036 52629 55608 57594 64554 67193 70172 76792 86072 105258 115188 122801 129108 134386 140344 201579 210516 230376 245602 258216 268772 368403 403158 421032 491204 508747 537544 736806 806316 982408 1017494 1473612 1526241 1612632 2034988 2947224 3052482 3561229 4069976 6104964 7122458 10683687 12209928 14244916 21367374 28489832 42734748 85469496