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88332804 = 22327714937
BaseRepresentation
bin1010100001111…
…01101000000100
320011012202211100
411100331220010
5140103122204
612433140100
72121550020
oct520755004
9204182740
1088332804
114595281a
12256ba630
13153ba141
14ba35380
157b4ca39
hex543da04

88332804 has 72 divisors (see below), whose sum is σ = 258830208. Its totient is φ = 24877440.

The previous prime is 88332791. The next prime is 88332817. The reversal of 88332804 is 40823388.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88332791) and next prime (88332817).

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

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 23 ways as a sum of consecutive naturals, for example, 15424 + ... + 20360.

It is an arithmetic number, because the mean of its divisors is an integer number (3594864).

Almost surely, 288332804 is an apocalyptic number.

88332804 is a gapful number since it is divisible by the number (84) 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 88332804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129415104).

88332804 is an abundant number, since it is smaller than the sum of its proper divisors (170497404).

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

88332804 is a wasteful number, since it uses less digits than its factorization.

88332804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 88332804 is about 9398.5532929276. The cubic root of 88332804 is about 445.3560320361.

The spelling of 88332804 in words is "eighty-eight million, three hundred thirty-two thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 4937 5964 8946 9874 14811 17892 19748 29622 34559 44433 59244 69118 88866 103677 138236 177732 207354 311031 350527 414708 622062 701054 1051581 1244124 1402108 2103162 2453689 3154743 4206324 4907378 6309486 7361067 9814756 12618972 14722134 22083201 29444268 44166402 88332804