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676976832 = 2633755967
BaseRepresentation
bin101000010110011…
…101100011000000
31202011211222122000
4220112131203000
52341301224312
6151101544000
722530131250
oct5026354300
91664758560
10676976832
11318154794
1216a875000
13aa33ac0c
1465ca3960
153e675adc
hex2859d8c0

676976832 has 112 divisors (see below), whose sum is σ = 2274539520. Its totient is φ = 193418496.

The previous prime is 676976819. The next prime is 676976837. The reversal of 676976832 is 238679676.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (676976837) 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, 15888 + ... + 40079.

Almost surely, 2676976832 is an apocalyptic number.

It is an amenable number.

676976832 is an abundant number, since it is smaller than the sum of its proper divisors (1597562688).

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

676976832 is a wasteful number, since it uses less digits than its factorization.

676976832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55995 (or 55979 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 676976832 is about 26018.7784494199. The cubic root of 676976832 is about 878.0608263822.

It can be divided in two parts, 67697 and 6832, that added together give a square (74529 = 2732).

The spelling of 676976832 in words is "six hundred seventy-six million, nine hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 55967 111934 167901 223868 335802 391769 447736 503703 671604 783538 895472 1007406 1175307 1343208 1511109 1567076 1790944 2014812 2350614 2686416 3022218 3134152 3525921 3581888 4029624 4701228 5372832 6044436 6268304 7051842 8059248 9402456 10577763 10745664 12088872 12536608 14103684 16118496 18804912 21155526 24177744 25073216 28207368 32236992 37609824 42311052 48355488 56414736 75219648 84622104 96710976 112829472 169244208 225658944 338488416 676976832