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679540624 = 2476192
BaseRepresentation
bin101000100000001…
…111011110010000
31202100200020111021
4220200033132100
52342430244444
6151232525224
722561000000
oct5040173620
91670606437
10679540624
11319645a24
1216b6b0814
13aaa27b59
1466370000
153e9d0584
hex2880f790

679540624 has 105 divisors (see below), whose sum is σ = 1621142427. Its totient is φ = 275903712.

The previous prime is 679540621. The next prime is 679540627. The reversal of 679540624 is 426045976.

It is a happy number.

The square root of 679540624 is 26068.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (679540621) and next prime (679540627).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (679540621) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 35765287 + ... + 35765305.

Almost surely, 2679540624 is an apocalyptic number.

679540624 is the 26068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679540624

679540624 is an abundant number, since it is smaller than the sum of its proper divisors (941601803).

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

679540624 is an frugal number, since it uses more digits than its factorization.

679540624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The cubic root of 679540624 is about 879.1678704096.

The spelling of 679540624 in words is "six hundred seventy-nine million, five hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 343 361 392 532 686 722 784 931 1064 1372 1444 1862 2128 2401 2527 2744 2888 3724 4802 5054 5488 5776 6517 7448 9604 10108 13034 14896 16807 17689 19208 20216 26068 33614 35378 38416 40432 45619 52136 67228 70756 91238 104272 117649 123823 134456 141512 182476 235298 247646 268912 283024 319333 364952 470596 495292 638666 729904 866761 941192 990584 1277332 1733522 1882384 1981168 2235331 2554664 3467044 4470662 5109328 6067327 6934088 8941324 12134654 13868176 17882648 24269308 35765296 42471289 48538616 84942578 97077232 169885156 339770312 679540624