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5056344 = 2337172
BaseRepresentation
bin10011010010011101011000
3100111220000000
4103102131120
52243300334
6300213000
760656346
oct23223530
910456000
105056344
1129439a7
12183a160
131080627
14958996
1569d299
hex4d2758

5056344 has 96 divisors (see below), whose sum is σ = 15104400. Its totient is φ = 1586304.

The previous prime is 5056339. The next prime is 5056349. The reversal of 5056344 is 4436505.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (5056339) and next prime (5056349).

It is a super-2 number, since 2×50563442 = 51133229292672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5056349) 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 23 ways as a sum of consecutive naturals, for example, 297424 + ... + 297440.

Almost surely, 25056344 is an apocalyptic number.

5056344 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 5056344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552200).

5056344 is an abundant number, since it is smaller than the sum of its proper divisors (10048056).

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

5056344 is an equidigital number, since it uses as much as digits as its factorization.

5056344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5056344 is about 2248.6315838750. The cubic root of 5056344 is about 171.6375095273.

The spelling of 5056344 in words is "five million, fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 289 306 324 408 459 486 578 612 648 729 867 918 972 1156 1224 1377 1458 1734 1836 1944 2187 2312 2601 2754 2916 3468 3672 4131 4374 5202 5508 5832 6936 7803 8262 8748 10404 11016 12393 15606 16524 17496 20808 23409 24786 31212 33048 37179 46818 49572 62424 70227 74358 93636 99144 140454 148716 187272 210681 280908 297432 421362 561816 632043 842724 1264086 1685448 2528172 5056344