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5312496 = 243797163
BaseRepresentation
bin10100010000111111110000
3100222220101010
4110100333300
52324444441
6305510520
763104220
oct24207760
910886333
105312496
112aa93a2
121942440
1311400b7
149c4080
156ee116
hex510ff0

5312496 has 80 divisors (see below), whose sum is σ = 15943424. Its totient is φ = 1492992.

The previous prime is 5312491. The next prime is 5312507. The reversal of 5312496 is 6942135.

It is a super-2 number, since 2×53124962 = 56445227500032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312491) by changing a digit.

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, 32511 + ... + 32673.

Almost surely, 25312496 is an apocalyptic number.

5312496 is a gapful number since it is divisible by the number (56) 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 5312496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7971712).

5312496 is an abundant number, since it is smaller than the sum of its proper divisors (10630928).

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

5312496 is a wasteful number, since it uses less digits than its factorization.

5312496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 5312496 is about 2304.8852466012. The cubic root of 5312496 is about 174.4882573796.

The spelling of 5312496 in words is "five million, three hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 163 168 194 291 326 336 388 489 582 652 679 776 978 1141 1164 1304 1358 1552 1956 2037 2282 2328 2608 2716 3423 3912 4074 4564 4656 5432 6846 7824 8148 9128 10864 13692 15811 16296 18256 27384 31622 32592 47433 54768 63244 94866 110677 126488 189732 221354 252976 332031 379464 442708 664062 758928 885416 1328124 1770832 2656248 5312496