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52813866 = 23721710567
BaseRepresentation
bin1100100101111…
…0000000101010
310200101020000010
43021132000222
5102010020431
65123552350
71210624200
oct311360052
9120336003
1052813866
11278a2926
121582b6b6
13ac32111
14702b070
154983846
hex325e02a

52813866 has 48 divisors (see below), whose sum is σ = 130113216. Its totient is φ = 14200704.

The previous prime is 52813841. The next prime is 52813903. The reversal of 52813866 is 66831825.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 286 + ... + 10281.

It is an arithmetic number, because the mean of its divisors is an integer number (2710692).

Almost surely, 252813866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52813866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65056608).

52813866 is an abundant number, since it is smaller than the sum of its proper divisors (77299350).

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

52813866 is a wasteful number, since it uses less digits than its factorization.

52813866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10596 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 52813866 is about 7267.3149099237. The cubic root of 52813866 is about 375.1883285149.

The spelling of 52813866 in words is "fifty-two million, eight hundred thirteen thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 10567 21134 31701 63402 73969 147938 179639 221907 359278 443814 517783 538917 1035566 1077834 1257473 1553349 2514946 3106698 3772419 7544838 8802311 17604622 26406933 52813866