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85374504 = 23324012957
BaseRepresentation
bin1010001011010…
…11011000101000
312221122110210200
411011223120220
5133323441004
612245512200
72054446155
oct505533050
9187573720
1085374504
1144212146
1224712660
13148c2777
14b4a522c
157766239
hex516b628

85374504 has 48 divisors (see below), whose sum is σ = 231877620. Its totient is φ = 28377600.

The previous prime is 85374469. The next prime is 85374539. The reversal of 85374504 is 40547358.

85374504 is a `hidden beast` number, since 85 + 3 + 74 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (85374469) and next prime (85374539).

It can be written as a sum of positive squares in 2 ways, for example, as 82846404 + 2528100 = 9102^2 + 1590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27394 + ... + 30350.

Almost surely, 285374504 is an apocalyptic number.

It is an amenable number.

85374504 is an abundant number, since it is smaller than the sum of its proper divisors (146503116).

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

85374504 is a wasteful number, since it uses less digits than its factorization.

85374504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 85374504 is about 9239.8324660137. The cubic root of 85374504 is about 440.3277585450.

It can be divided in two parts, 8537 and 4504, that added together give a triangular number (13041 = T161).

The spelling of 85374504 in words is "eighty-five million, three hundred seventy-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 401 802 1203 1604 2406 2957 3208 3609 4812 5914 7218 8871 9624 11828 14436 17742 23656 26613 28872 35484 53226 70968 106452 212904 1185757 2371514 3557271 4743028 7114542 9486056 10671813 14229084 21343626 28458168 42687252 85374504