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69225728 = 2811133161
BaseRepresentation
bin1000010000001…
…00110100000000
311211021000211212
410020010310000
5120210210403
610511425252
71500260165
oct410046400
9154230755
1069225728
1136092350
121b225228
131145a290
1492a006c
1561264d8
hex4204d00

69225728 has 144 divisors (see below), whose sum is σ = 170322432. Its totient is φ = 27648000.

The previous prime is 69225719. The next prime is 69225733. The reversal of 69225728 is 82752296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1134818 + ... + 1134878.

Almost surely, 269225728 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 69225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85161216).

69225728 is an abundant number, since it is smaller than the sum of its proper divisors (101096704).

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

69225728 is a wasteful number, since it uses less digits than its factorization.

69225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 69225728 is about 8320.1999975962. The cubic root of 69225728 is about 410.6033709910.

The spelling of 69225728 in words is "sixty-nine million, two hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 61 62 64 88 104 122 124 128 143 176 208 244 248 256 286 341 352 403 416 488 496 572 671 682 704 793 806 832 976 992 1144 1342 1364 1408 1586 1612 1664 1891 1952 1984 2288 2684 2728 2816 3172 3224 3328 3782 3904 3968 4433 4576 5368 5456 6344 6448 7564 7808 7936 8723 8866 9152 10736 10912 12688 12896 15128 15616 17446 17732 18304 20801 21472 21824 24583 25376 25792 30256 34892 35464 36608 41602 42944 43648 49166 50752 51584 60512 69784 70928 83204 85888 87296 98332 101504 103168 121024 139568 141856 166408 171776 196664 203008 242048 270413 279136 283712 332816 393328 484096 540826 558272 567424 665632 786656 1081652 1116544 1134848 1331264 1573312 2163304 2233088 2662528 3146624 4326608 5325056 6293248 8653216 17306432 34612864 69225728