Search a number
-
+
5246592 = 273131051
BaseRepresentation
bin10100000000111010000000
3100212112222020
4110000322000
52320342332
6304241440
762411121
oct24007200
910775866
105246592
112a6392a
121910280
1311190c0
149a8048
156d982c
hex500e80

5246592 has 64 divisors (see below), whose sum is σ = 15022560. Its totient is φ = 1612800.

The previous prime is 5246581. The next prime is 5246609. The reversal of 5246592 is 2956425.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×52465922 = 55053455228928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4467 + ... + 5517.

Almost surely, 25246592 is an apocalyptic number.

5246592 is a gapful number since it is divisible by the number (52) 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 5246592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511280).

5246592 is an abundant number, since it is smaller than the sum of its proper divisors (9775968).

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

5246592 is a wasteful number, since it uses less digits than its factorization.

5246592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 5246592 is about 2290.5440401791. The cubic root of 5246592 is about 173.7637168061.

The spelling of 5246592 in words is "five million, two hundred forty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1051 1248 1664 2102 2496 3153 4204 4992 6306 8408 12612 13663 16816 25224 27326 33632 40989 50448 54652 67264 81978 100896 109304 134528 163956 201792 218608 327912 403584 437216 655824 874432 1311648 1748864 2623296 5246592