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678052973 = 131729472251
BaseRepresentation
bin101000011010100…
…100010001101101
31202020212122211002
4220122210101231
52342040143343
6151141010045
722542232553
oct5032442155
91666778732
10678052973
1131881a264
1216b0b3925
13aa6269a0
14660a3bd3
153e7d98b8
hex286a446d

678052973 has 32 divisors (see below), whose sum is σ = 817205760. Its totient is φ = 556416000.

The previous prime is 678052961. The next prime is 678053021. The reversal of 678052973 is 379250876.

It is a cyclic number.

It is not a de Polignac number, because 678052973 - 26 = 678052909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678052933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300098 + ... + 302348.

It is an arithmetic number, because the mean of its divisors is an integer number (25537680).

Almost surely, 2678052973 is an apocalyptic number.

It is an amenable number.

678052973 is a deficient number, since it is larger than the sum of its proper divisors (139152787).

678052973 is a wasteful number, since it uses less digits than its factorization.

678052973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357.

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 678052973 is about 26039.4503206193. The cubic root of 678052973 is about 878.5258432848.

The spelling of 678052973 in words is "six hundred seventy-eight million, fifty-two thousand, nine hundred seventy-three".

Divisors: 1 13 17 29 47 221 377 493 611 799 1363 2251 6409 10387 17719 23171 29263 38267 65279 105797 301223 497471 848627 1109743 1375361 1798549 3068113 14426659 23381137 39885469 52157921 678052973