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85311552 = 2632331907
BaseRepresentation
bin1010001010111…
…00000001000000
312221112021110010
411011130001000
5133314432202
612244304520
72054064504
oct505340100
9187467403
1085311552
1144179917
12246a2140
131489cc11
14b48a304
15775276c
hex515c040

85311552 has 56 divisors (see below), whose sum is σ = 226807776. Its totient is φ = 28300288.

The previous prime is 85311521. The next prime is 85311553. The reversal of 85311552 is 25511358.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (85311553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43783 + ... + 45689.

Almost surely, 285311552 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 85311552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113403888).

85311552 is an abundant number, since it is smaller than the sum of its proper divisors (141496224).

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

85311552 is a wasteful number, since it uses less digits than its factorization.

85311552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2145 counting only the distinct ones).

The product of its digits is 6000, while the sum is 30.

The square root of 85311552 is about 9236.4252825430. The cubic root of 85311552 is about 440.2195048015.

The spelling of 85311552 in words is "eighty-five million, three hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 1398 1864 1907 2796 3728 3814 5592 5721 7456 7628 11184 11442 14912 15256 22368 22884 30512 44736 45768 61024 91536 122048 183072 366144 444331 888662 1332993 1777324 2665986 3554648 5331972 7109296 10663944 14218592 21327888 28437184 42655776 85311552