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78233088 = 29331253
BaseRepresentation
bin1001010100110…
…11111000000000
312110012122121210
410222123320000
5130011424323
611432450120
71636653543
oct452337000
9173178553
1078233088
114018474a
1222249940
131329208b
14a56685a
156d05293
hex4a9be00

78233088 has 120 divisors (see below), whose sum is σ = 219421224. Its totient is φ = 24760320.

The previous prime is 78233081. The next prime is 78233107. The reversal of 78233088 is 88033287.

It is a happy number.

It is a super-2 number, since 2×782330882 = 12240832116031488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78233081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1476070 + ... + 1476122.

Almost surely, 278233088 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 78233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109710612).

78233088 is an abundant number, since it is smaller than the sum of its proper divisors (141188136).

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

78233088 is an equidigital number, since it uses as much as digits as its factorization.

78233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 78233088 is about 8844.9470320630. The cubic root of 78233088 is about 427.6910455572.

The spelling of 78233088 in words is "seventy-eight million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 256 318 372 384 424 496 512 636 744 768 848 961 992 1272 1488 1536 1643 1696 1922 1984 2544 2883 2976 3286 3392 3844 3968 4929 5088 5766 5952 6572 6784 7688 7936 9858 10176 11532 11904 13144 13568 15376 15872 19716 20352 23064 23808 26288 27136 30752 39432 40704 46128 47616 50933 52576 61504 78864 81408 92256 101866 105152 123008 152799 157728 184512 203732 210304 246016 305598 315456 369024 407464 420608 492032 611196 630912 738048 814928 841216 1222392 1261824 1476096 1629856 2444784 2523648 3259712 4889568 6519424 9779136 13038848 19558272 26077696 39116544 78233088