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85843152 = 243522079
BaseRepresentation
bin1010001110111…
…01110011010000
312222112021200000
411013131303100
5133433440102
612303530000
72061440403
oct507356320
9188467600
1085843152
114450225a
12248b9900
1314a27b85
14b587d3a
15780a01c
hex51ddcd0

85843152 has 60 divisors (see below), whose sum is σ = 249150720. Its totient is φ = 28613088.

The previous prime is 85843151. The next prime is 85843193. The reversal of 85843152 is 25134858.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85843151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7152 + ... + 14927.

It is an arithmetic number, because the mean of its divisors is an integer number (4152512).

Almost surely, 285843152 is an apocalyptic number.

It is an amenable number.

85843152 is an abundant number, since it is smaller than the sum of its proper divisors (163307568).

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

85843152 is a wasteful number, since it uses less digits than its factorization.

85843152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22102 (or 22084 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 85843152 is about 9265.1579587182. The cubic root of 85843152 is about 441.1319888141.

The spelling of 85843152 in words is "eighty-five million, eight hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 22079 44158 66237 88316 132474 176632 198711 264948 353264 397422 529896 596133 794844 1059792 1192266 1589688 1788399 2384532 3179376 3576798 4769064 5365197 7153596 9538128 10730394 14307192 21460788 28614384 42921576 85843152