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125494016 = 283311481
BaseRepresentation
bin1110111101011…
…10001100000000
322202010202102112
413132232030000
5224111302031
620241434452
73052452524
oct736561400
9282122375
10125494016
116492456a
123603ba28
131cccb81b
1412949d84
15b03d62b
hex77ae300

125494016 has 36 divisors (see below), whose sum is σ = 251424264. Its totient is φ = 62515200.

The previous prime is 125494007. The next prime is 125494021. The reversal of 125494016 is 610494521.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 83996 + ... + 85476.

Almost surely, 2125494016 is an apocalyptic number.

125494016 is a gapful number since it is divisible by the number (16) 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 125494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125712132).

125494016 is an abundant number, since it is smaller than the sum of its proper divisors (125930248).

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

125494016 is an equidigital number, since it uses as much as digits as its factorization.

125494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 125494016 is about 11202.4111690296. The cubic root of 125494016 is about 500.6578221605.

The spelling of 125494016 in words is "one hundred twenty-five million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 331 662 1324 1481 2648 2962 5296 5924 10592 11848 21184 23696 42368 47392 84736 94784 189568 379136 490211 980422 1960844 3921688 7843376 15686752 31373504 62747008 125494016