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88608192 = 2633712473
BaseRepresentation
bin1010100100000…
…00110111000000
320011201202120220
411102000313000
5140140430232
612443103040
72124104631
oct522006700
9204652526
1088608192
1146020712
1225811a80
13154855aa
14baa7888
157ba442c
hex5480dc0

88608192 has 56 divisors (see below), whose sum is σ = 240798096. Its totient is φ = 28735488.

The previous prime is 88608139. The next prime is 88608197. The reversal of 88608192 is 29180688.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88608197) 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, 868 + ... + 13340.

It is an arithmetic number, because the mean of its divisors is an integer number (4299966).

Almost surely, 288608192 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 88608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120399048).

88608192 is an abundant number, since it is smaller than the sum of its proper divisors (152189904).

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

88608192 is a wasteful number, since it uses less digits than its factorization.

88608192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 88608192 is about 9413.1924446492. The cubic root of 88608192 is about 445.8183686673.

The spelling of 88608192 in words is "eighty-eight million, six hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 12473 24946 37419 49892 74838 99784 149676 199568 299352 399136 461501 598704 798272 923002 1197408 1384503 1846004 2394816 2769006 3692008 5538012 7384016 11076024 14768032 22152048 29536064 44304096 88608192