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679374816 = 253103127541
BaseRepresentation
bin101000011111100…
…110111111100000
31202100100211001020
4220133212333200
52342404443231
6151225205440
722556406411
oct5037467740
91670324036
10679374816
1131954239a
1216b630880
13aa99a543
1466329808
153e99b396
hex287e6fe0

679374816 has 96 divisors (see below), whose sum is σ = 1818206208. Its totient is φ = 222082560.

The previous prime is 679374809. The next prime is 679374847. The reversal of 679374816 is 618473976.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (1524096) is a multiple of the sum of its prime factors (784).

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 15 ways as a sum of consecutive naturals, for example, 1255506 + ... + 1256046.

It is an arithmetic number, because the mean of its divisors is an integer number (18939648).

Almost surely, 2679374816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679374816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909103104).

679374816 is an abundant number, since it is smaller than the sum of its proper divisors (1138831392).

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

679374816 is a wasteful number, since it uses less digits than its factorization.

679374816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 679374816 is about 26064.8195082951. The cubic root of 679374816 is about 879.0963589017.

The spelling of 679374816 in words is "six hundred seventy-nine million, three hundred seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 127 206 254 309 381 412 508 541 618 762 824 1016 1082 1236 1524 1623 1648 2032 2164 2472 3048 3246 3296 4064 4328 4944 6096 6492 8656 9888 12192 12984 13081 17312 25968 26162 39243 51936 52324 55723 68707 78486 104648 111446 137414 156972 167169 206121 209296 222892 274828 313944 334338 412242 418592 445784 549656 627888 668676 824484 891568 1099312 1255776 1337352 1648968 1783136 2198624 2674704 3297936 5349408 6595872 7076821 14153642 21230463 28307284 42460926 56614568 84921852 113229136 169843704 226458272 339687408 679374816