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52265808 = 24327192729
BaseRepresentation
bin1100011101100…
…0001101010000
310122100101012200
43013120031100
5101340001213
65104123200
71203152310
oct307301520
9118311180
1052265808
1127559091
1215606500
13aa9c81a
146d27440
1548c6273
hex31d8350

52265808 has 120 divisors (see below), whose sum is σ = 176030400. Its totient is φ = 14141952.

The previous prime is 52265797. The next prime is 52265819. The reversal of 52265808 is 80856225.

52265808 is a `hidden beast` number, since 52 + 26 + 580 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52265797) and next prime (52265819).

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, 17788 + ... + 20516.

It is an arithmetic number, because the mean of its divisors is an integer number (1466920).

Almost surely, 252265808 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 52265808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015200).

52265808 is an abundant number, since it is smaller than the sum of its proper divisors (123764592).

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

52265808 is a wasteful number, since it uses less digits than its factorization.

52265808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52265808 is about 7229.5095269320. The cubic root of 52265808 is about 373.8860167202.

The spelling of 52265808 in words is "fifty-two million, two hundred sixty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2729 2736 3192 4788 5458 6384 8187 9576 10916 16374 19103 19152 21832 24561 32748 38206 43664 49122 51851 57309 65496 76412 98244 103702 114618 130992 152824 155553 171927 196488 207404 229236 305648 311106 343854 362957 392976 414808 458472 466659 622212 687708 725914 829616 916944 933318 1088871 1244424 1375416 1451828 1866636 2177742 2488848 2750832 2903656 3266613 3733272 4355484 5807312 6533226 7466544 8710968 13066452 17421936 26132904 52265808