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876025968 = 24329221701
BaseRepresentation
bin110100001101110…
…001100001110000
32021001101201201020
4310031301201300
53243230312333
6222532135440
730465045366
oct6415614160
92231351636
10876025968
1140a548304
12205467580
1310c65147c
14844b9636
1551d933b3
hex34371870

876025968 has 60 divisors (see below), whose sum is σ = 2343902808. Its totient is φ = 281926400.

The previous prime is 876025961. The next prime is 876025973. The reversal of 876025968 is 869520678.

It is a super-2 number, since 2×8760259682 = 1534842993220674048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 876025968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876025961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29518 + ... + 51218.

Almost surely, 2876025968 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 876025968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171951404).

876025968 is an abundant number, since it is smaller than the sum of its proper divisors (1467876840).

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

876025968 is a wasteful number, since it uses less digits than its factorization.

876025968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21770 (or 21735 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 876025968 is about 29597.7358593525. The cubic root of 876025968 is about 956.8392751203.

The spelling of 876025968 in words is "eight hundred seventy-six million, twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 841 1392 1682 2523 3364 5046 6728 10092 13456 20184 21701 40368 43402 65103 86804 130206 173608 260412 347216 520824 629329 1041648 1258658 1887987 2517316 3775974 5034632 7551948 10069264 15103896 18250541 30207792 36501082 54751623 73002164 109503246 146004328 219006492 292008656 438012984 876025968