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94612896 = 2532771661
BaseRepresentation
bin1011010001110…
…10110110100000
320121000211111100
411220322312200
5143210103041
613215514400
72226124230
oct550726640
9217024440
1094612896
1149452084
1227828a00
13167a8781
14c7cbcc0
15848d6b6
hex5a3ada0

94612896 has 144 divisors (see below), whose sum is σ = 312294528. Its totient is φ = 26611200.

The previous prime is 94612883. The next prime is 94612901. The reversal of 94612896 is 69821649.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142806 + ... + 143466.

It is an arithmetic number, because the mean of its divisors is an integer number (2168712).

Almost surely, 294612896 is an apocalyptic number.

94612896 is a gapful number since it is divisible by the number (96) 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 94612896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156147264).

94612896 is an abundant number, since it is smaller than the sum of its proper divisors (217681632).

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

94612896 is a wasteful number, since it uses less digits than its factorization.

94612896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 94612896 is about 9726.9160580320. The cubic root of 94612896 is about 455.6696591787.

The spelling of 94612896 in words is "ninety-four million, six hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 661 672 852 994 1008 1136 1278 1322 1491 1704 1983 1988 2016 2272 2556 2644 2982 3408 3966 3976 4473 4627 5112 5288 5949 5964 6816 7932 7952 8946 9254 10224 10576 11898 11928 13881 15864 15904 17892 18508 20448 21152 23796 23856 27762 31728 35784 37016 41643 46931 47592 47712 55524 63456 71568 74032 83286 93862 95184 111048 140793 143136 148064 166572 187724 190368 222096 281586 328517 333144 375448 422379 444192 563172 657034 666288 750896 844758 985551 1126344 1314068 1332576 1501792 1689516 1971102 2252688 2628136 2956653 3379032 3942204 4505376 5256272 5913306 6758064 7884408 10512544 11826612 13516128 15768816 23653224 31537632 47306448 94612896