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679470048 = 253223671531
BaseRepresentation
bin101000011111111…
…110001111100000
31202100112122200100
4220133332033200
52342421020143
6151231222400
722560254145
oct5037761740
91670478610
10679470048
113195a79a4
1216b677a00
13aaa019aa
14663523cc
153e9b96d3
hex287fe3e0

679470048 has 144 divisors (see below), whose sum is σ = 2047683456. Its totient is φ = 213269760.

The previous prime is 679470041. The next prime is 679470049. The reversal of 679470048 is 840074976.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6794700482 = 923359092258244608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 679469985 and 679470012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679470041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443043 + ... + 444573.

It is an arithmetic number, because the mean of its divisors is an integer number (14220024).

Almost surely, 2679470048 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 679470048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023841728).

679470048 is an abundant number, since it is smaller than the sum of its proper divisors (1368213408).

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

679470048 is a wasteful number, since it uses less digits than its factorization.

679470048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 679470048 is about 26066.6462745018. The cubic root of 679470048 is about 879.1374330339.

The spelling of 679470048 in words is "six hundred seventy-nine million, four hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 67 69 72 92 96 134 138 144 184 201 207 268 276 288 368 402 414 536 552 603 736 804 828 1072 1104 1206 1531 1541 1608 1656 2144 2208 2412 3062 3082 3216 3312 4593 4623 4824 6124 6164 6432 6624 9186 9246 9648 12248 12328 13779 13869 18372 18492 19296 24496 24656 27558 27738 35213 36744 36984 48992 49312 55116 55476 70426 73488 73968 102577 105639 110232 110952 140852 146976 147936 205154 211278 220464 221904 281704 307731 316917 410308 422556 440928 443808 563408 615462 633834 820616 845112 923193 1126816 1230924 1267668 1641232 1690224 1846386 2359271 2461848 2535336 3282464 3380448 3692772 4718542 4923696 5070672 7077813 7385544 9437084 9847392 10141344 14155626 14771088 18874168 21233439 28311252 29542176 37748336 42466878 56622504 75496672 84933756 113245008 169867512 226490016 339735024 679470048