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7630884 = 2232211969
BaseRepresentation
bin11101000111000000100100
3112100200121100
4131013000210
53423142014
6431320100
7121601322
oct35070044
915320540
107630884
114342218
122680030
131772421
141028d12
15a0b009
hex747024

7630884 has 18 divisors (see below), whose sum is σ = 19289270. Its totient is φ = 2543616.

The previous prime is 7630849. The next prime is 7630891. The reversal of 7630884 is 4880367.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 2965284 = 2160^2 + 1722^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×76308843 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 211969 = 7630884 / (7 + 6 + 3 + 0 + 8 + 8 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105949 + ... + 106020.

Almost surely, 27630884 is an apocalyptic number.

It is an amenable number.

7630884 is an abundant number, since it is smaller than the sum of its proper divisors (11658386).

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

7630884 is a wasteful number, since it uses less digits than its factorization.

7630884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211979 (or 211974 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7630884 is about 2762.4054734959. The cubic root of 7630884 is about 196.8754742241.

The spelling of 7630884 in words is "seven million, six hundred thirty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 211969 423938 635907 847876 1271814 1907721 2543628 3815442 7630884