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537552704 = 26131016397
BaseRepresentation
bin100000000010100…
…110011101000000
31101110111111200102
4200002212131000
52100103141304
6125201341532
716215060023
oct4002463500
91343444612
10537552704
11256486337
121300378a8
13874a2a30
145156d1ba
15322d4d1e
hex200a6740

537552704 has 56 divisors (see below), whose sum is σ = 1160315688. Its totient is φ = 245606400.

The previous prime is 537552667. The next prime is 537552709. The reversal of 537552704 is 407255735.

It can be written as a sum of positive squares in 4 ways, for example, as 10758400 + 526794304 = 3280^2 + 22952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537552709) 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, 80834 + ... + 87230.

It is an arithmetic number, because the mean of its divisors is an integer number (20719923).

Almost surely, 2537552704 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 537552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580157844).

537552704 is an abundant number, since it is smaller than the sum of its proper divisors (622762984).

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

537552704 is a wasteful number, since it uses less digits than its factorization.

537552704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6513 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 38.

The square root of 537552704 is about 23185.1828545733. The cubic root of 537552704 is about 813.0932397714.

The spelling of 537552704 in words is "five hundred thirty-seven million, five hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 202 208 404 416 808 832 1313 1616 2626 3232 5252 6397 6464 10504 12794 21008 25588 42016 51176 83161 84032 102352 166322 204704 332644 409408 646097 665288 1292194 1330576 2584388 2661152 5168776 5322304 8399261 10337552 16798522 20675104 33597044 41350208 67194088 134388176 268776352 537552704