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85434924 = 22337193997
BaseRepresentation
bin1010001011110…
…10001000101100
312221202112200110
411011322020230
5133332404144
612251100020
72055120261
oct505721054
9187675613
1085434924
1144253583
1224741610
1314914113
14b4bd268
1577790b9
hex517a22c

85434924 has 48 divisors (see below), whose sum is σ = 206003168. Its totient is φ = 27537408.

The previous prime is 85434917. The next prime is 85434931. The reversal of 85434924 is 42943458.

It is an interprime number because it is at equal distance from previous prime (85434917) and next prime (85434931).

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, 85194 + ... + 86190.

Almost surely, 285434924 is an apocalyptic number.

It is an amenable number.

85434924 is an abundant number, since it is smaller than the sum of its proper divisors (120568244).

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

85434924 is a wasteful number, since it uses less digits than its factorization.

85434924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1232 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 85434924 is about 9243.1014275513. The cubic root of 85434924 is about 440.4316081656.

It can be divided in two parts, 854 and 34924, that added together give a triangular number (35778 = T267).

The spelling of 85434924 in words is "eighty-five million, four hundred thirty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 193 222 386 444 579 772 997 1158 1994 2316 2991 3988 5982 7141 11964 14282 21423 28564 36889 42846 73778 85692 110667 147556 192421 221334 384842 442668 577263 769684 1154526 2309052 7119577 14239154 21358731 28478308 42717462 85434924