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52984704 = 273314451
BaseRepresentation
bin1100101000011…
…1101110000000
310200200220100110
43022013232000
5102031002304
65131351320
71212235233
oct312075600
9120626313
1052984704
11279aa213
12158b2540
13ac91ac6
14707341a
1549b9289
hex3287b80

52984704 has 64 divisors (see below), whose sum is σ = 145313280. Its totient is φ = 17088000.

The previous prime is 52984697. The next prime is 52984721. The reversal of 52984704 is 40748925.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9679 + ... + 14129.

It is an arithmetic number, because the mean of its divisors is an integer number (2270520).

Almost surely, 252984704 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 52984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72656640).

52984704 is an abundant number, since it is smaller than the sum of its proper divisors (92328576).

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

52984704 is a wasteful number, since it uses less digits than its factorization.

52984704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 52984704 is about 7279.0592798795. The cubic root of 52984704 is about 375.5924360038.

The spelling of 52984704 in words is "fifty-two million, nine hundred eighty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 4451 5952 8902 11904 13353 17804 26706 35608 53412 71216 106824 137981 142432 213648 275962 284864 413943 427296 551924 569728 827886 854592 1103848 1655772 1709184 2207696 3311544 4415392 6623088 8830784 13246176 17661568 26492352 52984704