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94992768 = 2732136343
BaseRepresentation
bin1011010100101…
…11100110000000
320121202010120200
411222113212000
5143304232033
613232005200
72232265563
oct552274600
9217663520
1094992768
1149691522
1227990800
13168ac650
14c88a4da
158516013
hex5a97980

94992768 has 96 divisors (see below), whose sum is σ = 294425040. Its totient is φ = 29223936.

The previous prime is 94992763. The next prime is 94992769. The reversal of 94992768 is 86729949.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94992763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11805 + ... + 18147.

Almost surely, 294992768 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 94992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147212520).

94992768 is an abundant number, since it is smaller than the sum of its proper divisors (199432272).

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

94992768 is a wasteful number, since it uses less digits than its factorization.

94992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6361 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 94992768 is about 9746.4233439760. The cubic root of 94992768 is about 456.2786846793.

The spelling of 94992768 in words is "ninety-four million, nine hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 6343 7488 12686 14976 19029 25372 38058 50744 57087 76116 82459 101488 114174 152232 164918 202976 228348 247377 304464 329836 405952 456696 494754 608928 659672 742131 811904 913392 989508 1217856 1319344 1484262 1826784 1979016 2435712 2638688 2968524 3653568 3958032 5277376 5937048 7307136 7916064 10554752 11874096 15832128 23748192 31664256 47496384 94992768