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679444038 = 238713569
BaseRepresentation
bin101000011111110…
…111111001000110
31202100111100000000
4220133313321012
52342414202123
6151230502130
722560115260
oct5037677106
91670440000
10679444038
1131958a3a9
1216b664946
13aa9c2bc0
1466346b30
153e9b1b43
hex287f7e46

679444038 has 144 divisors (see below), whose sum is σ = 1884748320. Its totient is φ = 178879104.

The previous prime is 679444013. The next prime is 679444039. The reversal of 679444038 is 830444976.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 679443984 and 679444002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679444039) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1193818 + ... + 1194386.

It is an arithmetic number, because the mean of its divisors is an integer number (13088530).

Almost surely, 2679444038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679444038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942374160).

679444038 is an abundant number, since it is smaller than the sum of its proper divisors (1205304282).

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

679444038 is an equidigital number, since it uses as much as digits as its factorization.

679444038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 679444038 is about 26066.1473562934. The cubic root of 679444038 is about 879.1262151460.

The spelling of 679444038 in words is "six hundred seventy-nine million, four hundred forty-four thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 569 702 729 819 1053 1134 1138 1458 1638 1701 1707 2106 2187 2457 3159 3402 3414 3983 4374 4914 5103 5121 6318 6561 7371 7397 7966 9477 10206 10242 11949 13122 14742 14794 15309 15363 18954 22113 22191 23898 28431 30618 30726 35847 44226 44382 45927 46089 51779 56862 66339 66573 71694 85293 91854 92178 103558 107541 132678 133146 138267 155337 170586 199017 199719 215082 276534 310674 322623 398034 399438 414801 466011 597051 599157 645246 829602 932022 967869 1194102 1198314 1244403 1398033 1797471 1935738 2488806 2796066 2903607 3594942 3733209 4194099 5392413 5807214 7466418 8388198 8710821 10784826 12582297 16177239 17421642 25164594 26132463 32354478 37746891 48531717 52264926 75493782 97063434 113240673 226481346 339722019 679444038