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85972176 = 24323119259
BaseRepresentation
bin1010001111111…
…01010011010000
312222202211122200
411013331103100
5134002102201
612310403200
72062515513
oct507752320
9188684580
1085972176
1144590194
1224960500
1314a71814
14b5bcd7a
157833386
hex51fd4d0

85972176 has 60 divisors (see below), whose sum is σ = 248376960. Its totient is φ = 27731520.

The previous prime is 85972157. The next prime is 85972181. The reversal of 85972176 is 67127958.

It is a congruent number.

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, 5166 + ... + 14093.

It is an arithmetic number, because the mean of its divisors is an integer number (4139616).

Almost surely, 285972176 is an apocalyptic number.

It is an amenable number.

85972176 is an abundant number, since it is smaller than the sum of its proper divisors (162404784).

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

85972176 is a wasteful number, since it uses less digits than its factorization.

85972176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19304 (or 19295 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 85972176 is about 9272.1182045960. The cubic root of 85972176 is about 441.3528882902.

The spelling of 85972176 in words is "eighty-five million, nine hundred seventy-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 19259 38518 57777 77036 115554 154072 173331 231108 308144 346662 462216 597029 693324 924432 1194058 1386648 1791087 2388116 2773296 3582174 4776232 5373261 7164348 9552464 10746522 14328696 21493044 28657392 42986088 85972176