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94099264 = 2674147109
BaseRepresentation
bin1011001101111…
…01011101000000
320120001201220221
411212331131000
5143042134024
613200512424
72221554610
oct546753500
9216051827
1094099264
1149131196
122761b714
1316658a4c
14c6d6a40
1583db3e4
hex59bd740

94099264 has 112 divisors (see below), whose sum is σ = 225308160. Its totient is φ = 38154240.

The previous prime is 94099261. The next prime is 94099283. The reversal of 94099264 is 46299049.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 94099264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94099261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863242 + ... + 863350.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 294099264 is an apocalyptic number.

94099264 is a gapful number since it is divisible by the number (94) 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 94099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

94099264 is an abundant number, since it is smaller than the sum of its proper divisors (131208896).

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

94099264 is a wasteful number, since it uses less digits than its factorization.

94099264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 94099264 is about 9700.4775140196. The cubic root of 94099264 is about 454.8435866988.

The spelling of 94099264 in words is "ninety-four million, ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 47 56 64 82 94 109 112 164 188 218 224 287 328 329 376 436 448 574 656 658 752 763 872 1148 1312 1316 1504 1526 1744 1927 2296 2624 2632 3008 3052 3488 3854 4469 4592 5123 5264 6104 6976 7708 8938 9184 10246 10528 12208 13489 15416 17876 18368 20492 21056 24416 26978 30832 31283 35752 35861 40984 48832 53956 61664 62566 71504 71722 81968 107912 123328 125132 143008 143444 163936 210043 215824 250264 286016 286888 327872 420086 431648 500528 573776 840172 863296 1001056 1147552 1470301 1680344 2002112 2295104 2940602 3360688 5881204 6721376 11762408 13442752 23524816 47049632 94099264