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5246964 = 2233192557
BaseRepresentation
bin10100000000111111110100
3100212120111000
4110000333310
52320400324
6304243300
762412162
oct24007764
910776430
105246964
112a64138
121910530
131119318
149a8232
156d99c9
hex500ff4

5246964 has 48 divisors (see below), whose sum is σ = 14324800. Its totient is φ = 1656288.

The previous prime is 5246957. The next prime is 5246977. The reversal of 5246964 is 4696425.

It is a super-3 number, since 3×52469643 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 55 + 23 + 410 + 6 + 93 + 63 + 411 .

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, 774 + ... + 3330.

Almost surely, 25246964 is an apocalyptic number.

5246964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5246964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162400).

5246964 is an abundant number, since it is smaller than the sum of its proper divisors (9077836).

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

5246964 is a wasteful number, since it uses less digits than its factorization.

5246964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2581 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5246964 is about 2290.6252421555. The cubic root of 5246964 is about 173.7678235084.

The spelling of 5246964 in words is "five million, two hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 2557 5114 7671 10228 15342 23013 30684 46026 48583 69039 92052 97166 138078 145749 194332 276156 291498 437247 582996 874494 1311741 1748988 2623482 5246964