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679709472 = 253133117569
BaseRepresentation
bin101000100000111…
…000101100100000
31202100222211002220
4220200320230200
52343001200342
6151240311040
722562302161
oct5040705440
91670884086
10679709472
11319750872
1216b772480
13aaa86970
14663b5768
153ea155ec
hex28838b20

679709472 has 96 divisors (see below), whose sum is σ = 1983582720. Its totient is φ = 202383360.

The previous prime is 679709449. The next prime is 679709473. The reversal of 679709472 is 274907976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (679709473) 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, 29904 + ... + 47472.

It is an arithmetic number, because the mean of its divisors is an integer number (20662320).

Almost surely, 2679709472 is an apocalyptic number.

679709472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679709472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991791360).

679709472 is an abundant number, since it is smaller than the sum of its proper divisors (1303873248).

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

679709472 is a wasteful number, since it uses less digits than its factorization.

679709472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626 (or 17618 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 679709472 is about 26071.2384055687. The cubic root of 679709472 is about 879.2406810889.

The spelling of 679709472 in words is "six hundred seventy-nine million, seven hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 17569 19344 35138 38688 52707 70276 105414 140552 210828 228397 281104 421656 456794 544639 562208 685191 843312 913588 1089278 1370382 1633917 1686624 1827176 2178556 2740764 3267834 3654352 4357112 5481528 6535668 7080307 7308704 8714224 10963056 13071336 14160614 17428448 21240921 21926112 26142672 28321228 42481842 52285344 56642456 84963684 113284912 169927368 226569824 339854736 679709472