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5185264 = 24767691
BaseRepresentation
bin10011110001111011110000
3100202102211211
4103301323300
52311412024
6303045504
762034250
oct23617360
910672754
105185264
112a21847
1218a0894
1310c7206
1498d960
156c6594
hex4f1ef0

5185264 has 40 divisors (see below), whose sum is σ = 11669888. Its totient is φ = 2185920.

The previous prime is 5185261. The next prime is 5185267. The reversal of 5185264 is 4625815.

It is an interprime number because it is at equal distance from previous prime (5185261) and next prime (5185267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5185261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7159 + ... + 7849.

Almost surely, 25185264 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 5185264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834944).

5185264 is an abundant number, since it is smaller than the sum of its proper divisors (6484624).

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

5185264 is a wasteful number, since it uses less digits than its factorization.

5185264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 5185264 is about 2277.1174761088. The cubic root of 5185264 is about 173.0840136785.

The spelling of 5185264 in words is "five million, one hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 691 938 1072 1382 1876 2764 3752 4837 5528 7504 9674 11056 19348 38696 46297 77392 92594 185188 324079 370376 648158 740752 1296316 2592632 5185264