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52890264 = 23327176173
BaseRepresentation
bin1100100111000…
…0101010011000
310200112002210200
43021300222120
5102014442024
65125342200
71211363010
oct311605230
9120462720
1052890264
1127945269
1215867960
13ac5ab1b
14704ac40
15499b2c9
hex3270a98

52890264 has 96 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 14220288.

The previous prime is 52890259. The next prime is 52890283. The reversal of 52890264 is 46209825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 5482 + ... + 11654.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 252890264 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 52890264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

52890264 is an abundant number, since it is smaller than the sum of its proper divisors (120475656).

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

52890264 is a wasteful number, since it uses less digits than its factorization.

52890264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6209 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52890264 is about 7272.5692846476. The cubic root of 52890264 is about 375.3691511539.

The spelling of 52890264 in words is "fifty-two million, eight hundred ninety thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 4284 6173 8568 12346 18519 24692 37038 43211 49384 55557 74076 86422 104941 111114 129633 148152 172844 209882 222228 259266 314823 345688 388899 419764 444456 518532 629646 734587 777798 839528 944469 1037064 1259292 1469174 1555596 1888938 2203761 2518584 2938348 3111192 3777876 4407522 5876696 6611283 7555752 8815044 13222566 17630088 26445132 52890264