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5331456 = 29321389
BaseRepresentation
bin10100010101101000000000
3101000212101100
4110111220000
52331101311
6310134400
763213414
oct24255000
911025340
105331456
113011669
121951400
131148910
149cad44
15704a56
hex515a00

5331456 has 120 divisors (see below), whose sum is σ = 16756740. Its totient is φ = 1622016.

The previous prime is 5331451. The next prime is 5331463. The reversal of 5331456 is 6541335.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 665856 = 2160^2 + 816^2 .

It is not an unprimeable number, because it can be changed into a prime (5331451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59860 + ... + 59948.

Almost surely, 25331456 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 5331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378370).

5331456 is an abundant number, since it is smaller than the sum of its proper divisors (11425284).

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

5331456 is a wasteful number, since it uses less digits than its factorization.

5331456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 5331456 is about 2308.9945863947. The cubic root of 5331456 is about 174.6955905199.

The spelling of 5331456 in words is "five million, three hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 89 96 104 117 128 144 156 178 192 208 234 256 267 288 312 356 384 416 468 512 534 576 624 712 768 801 832 936 1068 1152 1157 1248 1424 1536 1602 1664 1872 2136 2304 2314 2496 2848 3204 3328 3471 3744 4272 4608 4628 4992 5696 6408 6656 6942 7488 8544 9256 9984 10413 11392 12816 13884 14976 17088 18512 19968 20826 22784 25632 27768 29952 34176 37024 41652 45568 51264 55536 59904 68352 74048 83304 102528 111072 136704 148096 166608 205056 222144 296192 333216 410112 444288 592384 666432 888576 1332864 1777152 2665728 5331456