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5626368 = 29331137
BaseRepresentation
bin10101011101101000000000
3101120211221000
4111131220000
52420020433
6320332000
765552256
oct25355000
911524830
105626368
1131a31a0
121a74000
13121cc17
14a665d6
15762113
hex55da00

5626368 has 160 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 1658880.

The previous prime is 5626367. The next prime is 5626373. The reversal of 5626368 is 8636265.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5626363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152046 + ... + 152082.

It is an arithmetic number, because the mean of its divisors is an integer number (116622).

Almost surely, 25626368 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 5626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

5626368 is an abundant number, since it is smaller than the sum of its proper divisors (13033152).

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

5626368 is a wasteful number, since it uses less digits than its factorization.

5626368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

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

The square root of 5626368 is about 2371.9966273163. The cubic root of 5626368 is about 177.8590813301.

The spelling of 5626368 in words is "five million, six hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 64 66 72 74 88 96 99 108 111 128 132 144 148 176 192 198 216 222 256 264 288 296 297 333 352 384 396 407 432 444 512 528 576 592 594 666 704 768 792 814 864 888 999 1056 1152 1184 1188 1221 1332 1408 1536 1584 1628 1728 1776 1998 2112 2304 2368 2376 2442 2664 2816 3168 3256 3456 3552 3663 3996 4224 4608 4736 4752 4884 5328 5632 6336 6512 6912 7104 7326 7992 8448 9472 9504 9768 10656 10989 12672 13024 13824 14208 14652 15984 16896 18944 19008 19536 21312 21978 25344 26048 28416 29304 31968 38016 39072 42624 43956 50688 52096 56832 58608 63936 76032 78144 85248 87912 104192 117216 127872 152064 156288 170496 175824 208384 234432 255744 312576 351648 468864 511488 625152 703296 937728 1406592 1875456 2813184 5626368