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901316628 = 223297258109
BaseRepresentation
bin110101101110010…
…000000000010100
32022210222121222100
4311232100000110
53321214113003
6225234202100
731223031162
oct6556200024
92283877870
10901316628
11422851583
12211a23330
13114967a64
14879c0232
15541dbba3
hex35b90014

901316628 has 36 divisors (see below), whose sum is σ = 2301824980. Its totient is φ = 297340416.

The previous prime is 901316597. The next prime is 901316651. The reversal of 901316628 is 826613109.

901316628 is a `hidden beast` number, since 9 + 0 + 13 + 16 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 358799364 + 542517264 = 18942^2 + 23292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 901316592 and 901316601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125563 + ... + 132546.

Almost surely, 2901316628 is an apocalyptic number.

It is an amenable number.

901316628 is an abundant number, since it is smaller than the sum of its proper divisors (1400508352).

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

901316628 is a wasteful number, since it uses less digits than its factorization.

901316628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258216 (or 258211 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 901316628 is about 30021.9357803590. The cubic root of 901316628 is about 965.9599664492.

The spelling of 901316628 in words is "nine hundred one million, three hundred sixteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 258109 516218 774327 1032436 1548654 2322981 3097308 4645962 9291924 25036573 50073146 75109719 100146292 150219438 225329157 300438876 450658314 901316628