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997566880 = 255192391373
BaseRepresentation
bin111011011101011…
…010100110100000
32120112002122111111
4323131122212200
54020334120010
6242553153104
733502115152
oct7335324640
92515078444
10997566880
11472111842
1223a0bb794
1312b89787b
14966b6ad2
155c8a058a
hex3b75a9a0

997566880 has 96 divisors (see below), whose sum is σ = 2492985600. Its totient is φ = 376169472.

The previous prime is 997566877. The next prime is 997566893. The reversal of 997566880 is 88665799.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725874 + ... + 727246.

It is an arithmetic number, because the mean of its divisors is an integer number (25968600).

Almost surely, 2997566880 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 997566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246492800).

997566880 is an abundant number, since it is smaller than the sum of its proper divisors (1495418720).

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

997566880 is a wasteful number, since it uses less digits than its factorization.

997566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 58.

The square root of 997566880 is about 31584.2821669260. The cubic root of 997566880 is about 999.1883013235.

The spelling of 997566880 in words is "nine hundred ninety-seven million, five hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 239 304 380 478 608 760 956 1195 1373 1520 1912 2390 2746 3040 3824 4541 4780 5492 6865 7648 9082 9560 10984 13730 18164 19120 21968 22705 26087 27460 36328 38240 43936 45410 52174 54920 72656 90820 104348 109840 130435 145312 181640 208696 219680 260870 328147 363280 417392 521740 656294 726560 834784 1043480 1312588 1640735 2086960 2625176 3281470 4173920 5250352 6234793 6562940 10500704 12469586 13125880 24939172 26251760 31173965 49878344 52503520 62347930 99756688 124695860 199513376 249391720 498783440 997566880