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94268544 = 2731271933
BaseRepresentation
bin1011001111001…
…10110010000000
320120101100010120
411213212302000
5143113043134
613204300240
72223161256
oct547466200
9216340116
1094268544
1149237397
12276a1680
13166b7b06
14c73c5d6
158421649
hex59e6c80

94268544 has 64 divisors (see below), whose sum is σ = 252503040. Its totient is φ = 31159296.

The previous prime is 94268543. The next prime is 94268561. The reversal of 94268544 is 44586249.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 94268496 and 94268505.

It is not an unprimeable number, because it can be changed into a prime (94268543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47802 + ... + 49734.

It is an arithmetic number, because the mean of its divisors is an integer number (3945360).

Almost surely, 294268544 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 94268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126251520).

94268544 is an abundant number, since it is smaller than the sum of its proper divisors (158234496).

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

94268544 is a wasteful number, since it uses less digits than its factorization.

94268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2065 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 94268544 is about 9709.1989370905. The cubic root of 94268544 is about 455.1161704737.

The spelling of 94268544 in words is "ninety-four million, two hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1524 1933 2032 3048 3866 4064 5799 6096 7732 8128 11598 12192 15464 16256 23196 24384 30928 46392 48768 61856 92784 123712 185568 245491 247424 371136 490982 736473 742272 981964 1472946 1963928 2945892 3927856 5891784 7855712 11783568 15711424 23567136 31422848 47134272 94268544