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5185632 = 253192843
BaseRepresentation
bin10011110010000001100000
3100202110100110
4103302001200
52311420012
6303051320
762035314
oct23620140
910673313
105185632
112a22051
1218a0b40
1310c742a
1498db44
156c673c
hex4f2060

5185632 has 48 divisors (see below), whose sum is σ = 14333760. Its totient is φ = 1636992.

The previous prime is 5185619. The next prime is 5185633. The reversal of 5185632 is 2365815.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5185632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5185633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (298620).

Almost surely, 25185632 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 5185632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166880).

5185632 is an abundant number, since it is smaller than the sum of its proper divisors (9148128).

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

5185632 is a wasteful number, since it uses less digits than its factorization.

5185632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2867 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 5185632 is about 2277.1982785871. The cubic root of 5185632 is about 173.0881081926.

The spelling of 5185632 in words is "five million, one hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 2843 5686 8529 11372 17058 22744 34116 45488 54017 68232 90976 108034 136464 162051 216068 272928 324102 432136 648204 864272 1296408 1728544 2592816 5185632