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679776048 = 243276171093
BaseRepresentation
bin101000100001001…
…000111100110000
31202101010012102200
4220201020330300
52343010313143
6151241543200
722563000240
oct5041107460
91671105380
10679776048
11319796896
1216b7a4b00
13aaaab063
14663d1b20
153ea2a1d3
hex28848f30

679776048 has 120 divisors (see below), whose sum is σ = 2179720608. Its totient is φ = 193729536.

The previous prime is 679776047. The next prime is 679776061. The reversal of 679776048 is 840677976.

It is a junction number, because it is equal to n+sod(n) for n = 679775985 and 679776003.

It is not an unprimeable number, because it can be changed into a prime (679776043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621390 + ... + 622482.

Almost surely, 2679776048 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 679776048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089860304).

679776048 is an abundant number, since it is smaller than the sum of its proper divisors (1499944560).

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

679776048 is a wasteful number, since it uses less digits than its factorization.

679776048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 679776048 is about 26072.5151836182. The cubic root of 679776048 is about 879.2693866947.

The spelling of 679776048 in words is "six hundred seventy-nine million, seven hundred seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 617 1008 1093 1234 1851 2186 2468 3279 3702 4319 4372 4936 5553 6558 7404 7651 8638 8744 9837 9872 11106 12957 13116 14808 15302 17276 17488 19674 22212 22953 25914 26232 29616 30604 34552 38871 39348 44424 45906 51828 52464 61208 68859 69104 77742 78696 88848 91812 103656 122416 137718 155484 157392 183624 207312 275436 310968 367248 550872 621936 674381 1101744 1348762 2023143 2697524 4046286 4720667 5395048 6069429 8092572 9441334 10790096 12138858 14162001 16185144 18882668 24277716 28324002 32370288 37765336 42486003 48555432 56648004 75530672 84972006 97110864 113296008 169944012 226592016 339888024 679776048