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628961076 = 223237472193
BaseRepresentation
bin100101011111010…
…010111100110100
31121211111112101200
4211133102330310
52242003223301
6142224452500
721405036522
oct4537227464
91554445350
10628961076
112a3039847
1215677a130
13a03c8a23
145d765312
153a33dc86
hex257d2f34

628961076 has 36 divisors (see below), whose sum is σ = 1632846852. Its totient is φ = 203986944.

The previous prime is 628961041. The next prime is 628961083. The reversal of 628961076 is 670169826.

628961076 is a `hidden beast` number, since 6 + 28 + 9 + 610 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 491508900 + 137452176 = 22170^2 + 11724^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234765 + ... + 237428.

It is an arithmetic number, because the mean of its divisors is an integer number (45356857).

Almost surely, 2628961076 is an apocalyptic number.

It is an amenable number.

628961076 is an abundant number, since it is smaller than the sum of its proper divisors (1003885776).

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

628961076 is a wasteful number, since it uses less digits than its factorization.

628961076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472240 (or 472235 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 628961076 is about 25079.0963952053. The cubic root of 628961076 is about 856.7903961816.

The spelling of 628961076 in words is "six hundred twenty-eight million, nine hundred sixty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 472193 944386 1416579 1888772 2833158 4249737 5666316 8499474 16998948 17471141 34942282 52413423 69884564 104826846 157240269 209653692 314480538 628961076