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52835664 = 2437672347
BaseRepresentation
bin1100100110001…
…1010101010000
310200102022220110
43021203111100
5102011220124
65124241320
71211044560
oct311432520
9120368813
1052835664
1127908242
1215840240
13ac3c00b
147034da0
15498a029
hex3263550

52835664 has 80 divisors (see below), whose sum is σ = 158386688. Its totient is φ = 14864256.

The previous prime is 52835663. The next prime is 52835689. The reversal of 52835664 is 46653825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52835663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21339 + ... + 23685.

Almost surely, 252835664 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 52835664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79193344).

52835664 is an abundant number, since it is smaller than the sum of its proper divisors (105551024).

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

52835664 is a wasteful number, since it uses less digits than its factorization.

52835664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2426 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 52835664 is about 7268.8144838068. The cubic root of 52835664 is about 375.2399388899.

The spelling of 52835664 in words is "fifty-two million, eight hundred thirty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2347 2814 3216 3752 4694 5628 7041 7504 9388 11256 14082 16429 18776 22512 28164 32858 37552 49287 56328 65716 98574 112656 131432 157249 197148 262864 314498 394296 471747 628996 788592 943494 1100743 1257992 1886988 2201486 2515984 3302229 3773976 4402972 6604458 7547952 8805944 13208916 17611888 26417832 52835664