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875740960 = 25511348437
BaseRepresentation
bin110100001100101…
…011111100100000
32021000212020202101
4310030223330200
53243142202320
6222522100144
730462450433
oct6414537440
92230766671
10875740960
1140a373166
1220534a654
1310c581823
148444381a
1551d38c0a
hex3432bf20

875740960 has 48 divisors (see below), whose sum is σ = 2087290296. Its totient is φ = 347189248.

The previous prime is 875740937. The next prime is 875740969. The reversal of 875740960 is 69047578.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 391564944 + 484176016 = 19788^2 + 22004^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 875740960.

It is not an unprimeable number, because it can be changed into a prime (875740969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6139 + ... + 42298.

Almost surely, 2875740960 is an apocalyptic number.

875740960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

875740960 is an abundant number, since it is smaller than the sum of its proper divisors (1211549336).

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

875740960 is a wasteful number, since it uses less digits than its factorization.

875740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48565 (or 48557 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 875740960 is about 29592.9207750773. The cubic root of 875740960 is about 956.7354972120.

The spelling of 875740960 in words is "eight hundred seventy-five million, seven hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 48437 96874 193748 242185 387496 484370 774992 968740 1549984 1937480 3874960 5473381 7749920 10946762 21893524 27366905 43787048 54733810 87574096 109467620 175148192 218935240 437870480 875740960