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679034752 = 27114191151
BaseRepresentation
bin101000011110010…
…011111110000000
31202022201112120021
4220132103332000
52342313103002
6151214023224
722553462104
oct5036237600
91668645507
10679034752
1131932a950
1216b4a7b14
13aa8ab816
146627b904
153e930737
hex28793f80

679034752 has 64 divisors (see below), whose sum is σ = 1480550400. Its totient is φ = 307648000.

The previous prime is 679034731. The next prime is 679034761. The reversal of 679034752 is 257430976.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6790347522 = 922176388847403008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 679034699 and 679034708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589377 + ... + 590527.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 2679034752 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 679034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

679034752 is an abundant number, since it is smaller than the sum of its proper divisors (801515648).

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

679034752 is a wasteful number, since it uses less digits than its factorization.

679034752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 679034752 is about 26058.2952627374. The cubic root of 679034752 is about 878.9496559276.

The spelling of 679034752 in words is "six hundred seventy-nine million, thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 419 704 838 1151 1408 1676 2302 3352 4604 4609 6704 9208 9218 12661 13408 18416 18436 25322 26816 36832 36872 50644 53632 73664 73744 101288 147328 147488 202576 294976 405152 482269 589952 810304 964538 1620608 1929076 3858152 5304959 7716304 10609918 15432608 21219836 30865216 42439672 61730432 84879344 169758688 339517376 679034752