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688273950 = 235271350423
BaseRepresentation
bin101001000001100…
…011101000011110
31202222002221100210
4221001203220132
52402144231300
6152144033250
723025142410
oct5101435036
91688087323
10688273950
11323570451
12172602826
13ac794cc0
14675a49b0
1540658050
hex29063a1e

688273950 has 96 divisors (see below), whose sum is σ = 2100865536. Its totient is φ = 145215360.

The previous prime is 688273939. The next prime is 688273961. The reversal of 688273950 is 59372886.

688273950 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (688273939) and next prime (688273961).

It is a self number, because there is not a number n which added to its sum of digits gives 688273950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11562 + ... + 38861.

It is an arithmetic number, because the mean of its divisors is an integer number (21884016).

Almost surely, 2688273950 is an apocalyptic number.

688273950 is an abundant number, since it is smaller than the sum of its proper divisors (1412591586).

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

688273950 is a wasteful number, since it uses less digits than its factorization.

688273950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50458 (or 50453 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 688273950 is about 26234.9757003890. The cubic root of 688273950 is about 882.9181490968.

The spelling of 688273950 in words is "six hundred eighty-eight million, two hundred seventy-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 13650 50423 100846 151269 252115 302538 352961 504230 655499 705922 756345 1058883 1260575 1310998 1512690 1764805 1966497 2117766 2521150 3277495 3529610 3781725 3932994 4588493 5294415 6554990 7563450 8824025 9176986 9832485 10588830 13765479 16387475 17648050 19664970 22942465 26472075 27530958 32774950 45884930 49162425 52944150 68827395 98324850 114712325 137654790 229424650 344136975 688273950