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675677856 = 25372239601
BaseRepresentation
bin101000010001100…
…000011010100000
31202002101222202210
4220101200122200
52340433142411
6151014042120
722513111200
oct5021403240
91662358683
10675677856
11317447857
1216a349340
13a9ca48a9
1465a46400
153e4baca6
hex284606a0

675677856 has 144 divisors (see below), whose sum is σ = 2075310720. Its totient is φ = 191923200.

The previous prime is 675677843. The next prime is 675677857. The reversal of 675677856 is 658776576.

It is a junction number, because it is equal to n+sod(n) for n = 675677796 and 675677805.

It is not an unprimeable number, because it can be changed into a prime (675677857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123956 + ... + 1124556.

It is an arithmetic number, because the mean of its divisors is an integer number (14411880).

Almost surely, 2675677856 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 675677856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037655360).

675677856 is an abundant number, since it is smaller than the sum of its proper divisors (1399632864).

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

675677856 is a wasteful number, since it uses less digits than its factorization.

675677856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 852 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 57.

The square root of 675677856 is about 25993.8041848437. The cubic root of 675677856 is about 877.4988621831.

The spelling of 675677856 in words is "six hundred seventy-five million, six hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 239 294 336 392 478 588 601 672 717 784 956 1176 1202 1434 1568 1673 1803 1912 2352 2404 2868 3346 3606 3824 4207 4704 4808 5019 5736 6692 7212 7648 8414 9616 10038 11472 11711 12621 13384 14424 16828 19232 20076 22944 23422 25242 26768 28848 29449 33656 35133 40152 46844 50484 53536 57696 58898 67312 70266 80304 88347 93688 100968 117796 134624 140532 143639 160608 176694 187376 201936 235592 281064 287278 353388 374752 403872 430917 471184 562128 574556 706776 861834 942368 1005473 1124256 1149112 1413552 1723668 2010946 2298224 2827104 3016419 3447336 4021892 4596448 6032838 6894672 7038311 8043784 12065676 13789344 14076622 16087568 21114933 24131352 28153244 32175136 42229866 48262704 56306488 84459732 96525408 112612976 168919464 225225952 337838928 675677856