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901394016 = 25357716273
BaseRepresentation
bin110101101110100…
…010111001100000
32022211010120010120
4311232202321200
53321224102031
6225240000240
731223502615
oct6556427140
92284116116
10901394016
114228a4736
12211a60080
13114994053
1487a0050c
1554204a96
hex35ba2e60

901394016 has 48 divisors (see below), whose sum is σ = 2370405744. Its totient is φ = 299925504.

The previous prime is 901393973. The next prime is 901394033. The reversal of 901394016 is 610493109.

901394016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×9013940162 = 1625022344161216512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47256 + ... + 63528.

It is an arithmetic number, because the mean of its divisors is an integer number (49383453).

Almost surely, 2901394016 is an apocalyptic number.

901394016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

901394016 is an abundant number, since it is smaller than the sum of its proper divisors (1469011728).

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

901394016 is a wasteful number, since it uses less digits than its factorization.

901394016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16863 (or 16855 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 901394016 is about 30023.2246102913. The cubic root of 901394016 is about 965.9876117731.

The spelling of 901394016 in words is "nine hundred one million, three hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 577 1154 1731 2308 3462 4616 6924 9232 13848 16273 18464 27696 32546 48819 55392 65092 97638 130184 195276 260368 390552 520736 781104 1562208 9389521 18779042 28168563 37558084 56337126 75116168 112674252 150232336 225348504 300464672 450697008 901394016