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94056480 = 25325723143
BaseRepresentation
bin1011001101100…
…11000000100000
320112222120020100
411212303000200
5143034301410
613155542400
72221316100
oct546630040
9215876210
1094056480
1149102031
12275baa00
131664242b
14c6c5200
1583cd8c0
hex59b3020

94056480 has 432 divisors, whose sum is σ = 394377984. Its totient is φ = 20321280.

The previous prime is 94056463. The next prime is 94056509. The reversal of 94056480 is 8465049.

94056480 is a `hidden beast` number, since 9 + 4 + 0 + 5 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2187339 + ... + 2187381.

It is an arithmetic number, because the mean of its divisors is an integer number (912912).

Almost surely, 294056480 is an apocalyptic number.

94056480 is a gapful number since it is divisible by the number (90) 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 94056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197188992).

94056480 is an abundant number, since it is smaller than the sum of its proper divisors (300321504).

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

94056480 is a wasteful number, since it uses less digits than its factorization.

94056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 94056480 is about 9698.2720110337. The cubic root of 94056480 is about 454.7746418519.

The spelling of 94056480 in words is "ninety-four million, fifty-six thousand, four hundred eighty".