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94268064 = 2531189269
BaseRepresentation
bin1011001111001…
…10101010100000
320120101022110210
411213212222200
5143113034224
613204254120
72223160002
oct547465240
9216338423
1094268064
1149236aa0
12276a1340
13166b7827
14c73c372
158421429
hex59e6aa0

94268064 has 48 divisors (see below), whose sum is σ = 269952480. Its totient is φ = 28565760.

The previous prime is 94268033. The next prime is 94268071. The reversal of 94268064 is 46086249.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 43579 + ... + 45690.

It is an arithmetic number, because the mean of its divisors is an integer number (5624010).

Almost surely, 294268064 is an apocalyptic number.

It is an amenable number.

94268064 is an abundant number, since it is smaller than the sum of its proper divisors (175684416).

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

94268064 is a wasteful number, since it uses less digits than its factorization.

94268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89293 (or 89285 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 94268064 is about 9709.1742182330. The cubic root of 94268064 is about 455.1153980134.

It can be divided in two parts, 942 and 68064, that added together give a triangular number (69006 = T371).

The spelling of 94268064 in words is "ninety-four million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 89269 178538 267807 357076 535614 714152 981959 1071228 1428304 1963918 2142456 2856608 2945877 3927836 4284912 5891754 7855672 8569824 11783508 15711344 23567016 31422688 47134032 94268064