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5564832 = 25373132
BaseRepresentation
bin10101001110100110100000
3101110201111220
4111032212200
52411033312
6315135040
765205000
oct25164640
911421456
105564832
113160a39
121a44480
1311cac00
14a4c000
1574dc8c
hex54e9a0

5564832 has 144 divisors (see below), whose sum is σ = 18446400. Its totient is φ = 1467648.

The previous prime is 5564813. The next prime is 5564833. The reversal of 5564832 is 2384655.

Its product of digits (28800) is a multiple of the sum of its prime divisors (25).

It is a junction number, because it is equal to n+sod(n) for n = 5564793 and 5564802.

It is not an unprimeable number, because it can be changed into a prime (5564833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428058 + ... + 428070.

It is an arithmetic number, because the mean of its divisors is an integer number (128100).

Almost surely, 25564832 is an apocalyptic number.

5564832 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 5564832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223200).

5564832 is an abundant number, since it is smaller than the sum of its proper divisors (12881568).

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

5564832 is a wasteful number, since it uses less digits than its factorization.

5564832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 5564832 is about 2358.9896142205. The cubic root of 5564832 is about 177.2082836465.

The spelling of 5564832 in words is "five million, five hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 169 182 196 208 224 273 294 312 336 338 343 364 392 416 507 546 588 624 637 672 676 686 728 784 1014 1029 1092 1176 1183 1248 1274 1352 1372 1456 1568 1911 2028 2058 2184 2352 2366 2548 2704 2744 2912 3549 3822 4056 4116 4368 4459 4704 4732 5096 5408 5488 7098 7644 8112 8232 8281 8736 8918 9464 10192 10976 13377 14196 15288 16224 16464 16562 17836 18928 20384 24843 26754 28392 30576 32928 33124 35672 37856 49686 53508 56784 57967 61152 66248 71344 99372 107016 113568 115934 132496 142688 173901 198744 214032 231868 264992 347802 397488 428064 463736 695604 794976 927472 1391208 1854944 2782416 5564832