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676095616 = 27731101241
BaseRepresentation
bin101000010011000…
…110011010000000
31202010012012211101
4220103012122000
52341040024431
6151031024144
722516501150
oct5023063200
91663165741
10676095616
11317702709
1216a50b054
13aa0bcaa1
1465b14760
153e54e961
hex284c6680

676095616 has 128 divisors (see below), whose sum is σ = 1611371520. Its totient is φ = 276480000.

The previous prime is 676095587. The next prime is 676095619. The reversal of 676095616 is 616590676.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (676095619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805256 + ... + 2805496.

It is an arithmetic number, because the mean of its divisors is an integer number (12588840).

Almost surely, 2676095616 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 676095616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805685760).

676095616 is an abundant number, since it is smaller than the sum of its proper divisors (935275904).

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

676095616 is a wasteful number, since it uses less digits than its factorization.

676095616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 676095616 is about 26001.8387042147. The cubic root of 676095616 is about 877.6796724102.

The spelling of 676095616 in words is "six hundred seventy-six million, ninety-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 101 112 124 128 202 217 224 241 248 404 434 448 482 496 707 808 868 896 964 992 1414 1616 1687 1736 1928 1984 2828 3131 3232 3374 3472 3856 3968 5656 6262 6464 6748 6944 7471 7712 11312 12524 12928 13496 13888 14942 15424 21917 22624 24341 25048 26992 27776 29884 30848 43834 45248 48682 50096 52297 53984 59768 87668 90496 97364 100192 104594 107968 119536 170387 175336 194728 200384 209188 215936 239072 340774 350672 389456 400768 418376 478144 681548 701344 754571 778912 836752 956288 1363096 1402688 1509142 1557824 1673504 2726192 2805376 3018284 3115648 3347008 5281997 5452384 6036568 6694016 10563994 10904768 12073136 21127988 21809536 24146272 42255976 48292544 84511952 96585088 169023904 338047808 676095616