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94412832 = 2531724183
BaseRepresentation
bin1011010000010…
…10000000100000
320120122200001120
411220022000200
5143132202312
613211332240
72224332033
oct550120040
9216580046
1094412832
1149325838
1227751080
13167386a7
14c77901a
15844e28c
hex5a0a020

94412832 has 144 divisors (see below), whose sum is σ = 272940192. Its totient is φ = 28549120.

The previous prime is 94412819. The next prime is 94412833. The reversal of 94412832 is 23821449.

It is a junction number, because it is equal to n+sod(n) for n = 94412793 and 94412802.

It is not an unprimeable number, because it can be changed into a prime (94412833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1137463 + ... + 1137545.

It is an arithmetic number, because the mean of its divisors is an integer number (1895418).

Almost surely, 294412832 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 94412832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136470096).

94412832 is an abundant number, since it is smaller than the sum of its proper divisors (178527360).

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

94412832 is a wasteful number, since it uses less digits than its factorization.

94412832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 94412832 is about 9716.6265751031. The cubic root of 94412832 is about 455.3482532868.

The spelling of 94412832 in words is "ninety-four million, four hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 83 96 102 123 136 164 166 204 246 249 272 289 328 332 408 492 498 544 578 656 664 697 816 867 984 996 1156 1312 1328 1394 1411 1632 1734 1968 1992 2091 2312 2656 2788 2822 3403 3468 3936 3984 4182 4233 4624 5576 5644 6806 6936 7968 8364 8466 9248 10209 11152 11288 11849 13612 13872 16728 16932 20418 22304 22576 23698 23987 27224 27744 33456 33864 35547 40836 45152 47396 47974 54448 57851 66912 67728 71094 71961 81672 94792 95948 108896 115702 135456 142188 143922 163344 173553 189584 191896 231404 284376 287844 326688 347106 379168 383792 462808 568752 575688 694212 767584 925616 983467 1137504 1151376 1388424 1851232 1966934 2302752 2776848 2950401 3933868 5553696 5900802 7867736 11801604 15735472 23603208 31470944 47206416 94412832