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677135952 = 24324702333
BaseRepresentation
bin101000010111000…
…100011001010000
31202012011001220100
4220113010121100
52341321322302
6151105212400
722531363203
oct5027043120
91665131810
10677135952
11318253299
1216a931100
13aa39547c
1465d0593a
153e6a7d1c
hex285c4650

677135952 has 30 divisors (see below), whose sum is σ = 1895040602. Its totient is φ = 225711936.

The previous prime is 677135947. The next prime is 677135971. The reversal of 677135952 is 259531776.

It can be written as a sum of positive squares in only one way, i.e., 670602816 + 6533136 = 25896^2 + 2556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 677135898 and 677135907.

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 5 ways as a sum of consecutive naturals, for example, 2351023 + ... + 2351310.

Almost surely, 2677135952 is an apocalyptic number.

It is an amenable number.

677135952 is an abundant number, since it is smaller than the sum of its proper divisors (1217904650).

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

677135952 is a wasteful number, since it uses less digits than its factorization.

677135952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702347 (or 4702338 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 677135952 is about 26021.8360612775. The cubic root of 677135952 is about 878.1296155868.

The spelling of 677135952 in words is "six hundred seventy-seven million, one hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 4702333 9404666 14106999 18809332 28213998 37618664 42320997 56427996 75237328 84641994 112855992 169283988 225711984 338567976 677135952