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537807104 = 2817191647
BaseRepresentation
bin100000000011100…
…100100100000000
31101110222102122122
4200003210210000
52100134311404
6125211023412
716220166512
oct4003444400
91343872578
10537807104
1125663a48a
1213013ab68
1387561773
14515d7bb2
15323353be
hex200e4900

537807104 has 72 divisors (see below), whose sum is σ = 1144378368. Its totient is φ = 251371520.

The previous prime is 537807077. The next prime is 537807119. The reversal of 537807104 is 401708735.

It is a super-2 number, since 2×5378071042 = 578472962225733632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830909 + ... + 831555.

It is an arithmetic number, because the mean of its divisors is an integer number (15894144).

Almost surely, 2537807104 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 537807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572189184).

537807104 is an abundant number, since it is smaller than the sum of its proper divisors (606571264).

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

537807104 is a wasteful number, since it uses less digits than its factorization.

537807104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 537807104 is about 23190.6684681576. The cubic root of 537807104 is about 813.2214866057.

The spelling of 537807104 in words is "five hundred thirty-seven million, eight hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 191 256 272 382 544 647 764 1088 1294 1528 2176 2588 3056 3247 4352 5176 6112 6494 10352 10999 12224 12988 20704 21998 24448 25976 41408 43996 48896 51952 82816 87992 103904 123577 165632 175984 207808 247154 351968 415616 494308 703936 831232 988616 1407872 1977232 2100809 2815744 3954464 4201618 7908928 8403236 15817856 16806472 31635712 33612944 67225888 134451776 268903552 537807104