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52856544 = 25313411033
BaseRepresentation
bin1100100110100…
…0011011100000
310200110101112210
43021220123200
5102012402134
65124522120
71211162466
oct311503340
9120411483
1052856544
11279219a4
1215850340
13ac48680
14703c836
1549912e9
hex32686e0

52856544 has 96 divisors (see below), whose sum is σ = 153213984. Its totient is φ = 15851520.

The previous prime is 52856533. The next prime is 52856563. The reversal of 52856544 is 44565825.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 50652 + ... + 51684.

It is an arithmetic number, because the mean of its divisors is an integer number (1595979).

Almost surely, 252856544 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 52856544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76606992).

52856544 is an abundant number, since it is smaller than the sum of its proper divisors (100357440).

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

52856544 is a wasteful number, since it uses less digits than its factorization.

52856544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1092 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 52856544 is about 7270.2506146625. The cubic root of 52856544 is about 375.2893624387.

The spelling of 52856544 in words is "fifty-two million, eight hundred fifty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1033 1066 1248 1312 1599 1968 2066 2132 3099 3198 3936 4132 4264 6198 6396 8264 8528 12396 12792 13429 16528 17056 24792 25584 26858 33056 40287 42353 49584 51168 53716 80574 84706 99168 107432 127059 161148 169412 214864 254118 322296 338824 429728 508236 550589 644592 677648 1016472 1101178 1289184 1355296 1651767 2032944 2202356 3303534 4065888 4404712 6607068 8809424 13214136 17618848 26428272 52856544