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93888852 = 22323418297
BaseRepresentation
bin1011001100010…
…10000101010100
320112200001021220
411212022011110
5143013420402
613152210340
72220020301
oct546120524
9215601256
1093888852
1148aa80a2
12275399b0
13165b4045
14c6800a8
158398dbc
hex598a154

93888852 has 48 divisors (see below), whose sum is σ = 234202752. Its totient is φ = 29201920.

The previous prime is 93888833. The next prime is 93888887. The reversal of 93888852 is 25888839.

It is a junction number, because it is equal to n+sod(n) for n = 93888795 and 93888804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7168 + ... + 15464.

It is an arithmetic number, because the mean of its divisors is an integer number (4879224).

Almost surely, 293888852 is an apocalyptic number.

93888852 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93888852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117101376).

93888852 is an abundant number, since it is smaller than the sum of its proper divisors (140313900).

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

93888852 is a wasteful number, since it uses less digits than its factorization.

93888852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8366 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 93888852 is about 9689.6259989744. The cubic root of 93888852 is about 454.5043138668.

The spelling of 93888852 in words is "ninety-three million, eight hundred eighty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1886 2829 3772 5658 8297 11316 16594 24891 33188 49782 99564 190831 340177 381662 572493 680354 763324 1020531 1144986 1360708 2041062 2289972 4082124 7824071 15648142 23472213 31296284 46944426 93888852