Search a number
-
+
55331328 = 2931317163
BaseRepresentation
bin1101001100010…
…0101000000000
310212010010022110
43103010220000
5103131100303
65253535320
71241210553
oct323045000
9125103273
1055331328
1129262278
1216644540
13b603c40
1474c469a
154cce703
hex34c4a00

55331328 has 160 divisors (see below), whose sum is σ = 169114176. Its totient is φ = 15925248.

The previous prime is 55331327. The next prime is 55331351. The reversal of 55331328 is 82313355.

It is a junction number, because it is equal to n+sod(n) for n = 55331295 and 55331304.

It is not an unprimeable number, because it can be changed into a prime (55331327) 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, 339375 + ... + 339537.

Almost surely, 255331328 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 55331328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84557088).

55331328 is an abundant number, since it is smaller than the sum of its proper divisors (113782848).

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

55331328 is a wasteful number, since it uses less digits than its factorization.

55331328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 55331328 is about 7438.5030752161. The cubic root of 55331328 is about 381.0573690315.

The spelling of 55331328 in words is "fifty-five million, three hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 163 192 204 208 221 256 272 312 326 384 408 416 442 489 512 544 624 652 663 768 816 832 884 978 1088 1248 1304 1326 1536 1632 1664 1768 1956 2119 2176 2496 2608 2652 2771 3264 3328 3536 3912 4238 4352 4992 5216 5304 5542 6357 6528 6656 7072 7824 8313 8476 8704 9984 10432 10608 11084 12714 13056 14144 15648 16626 16952 19968 20864 21216 22168 25428 26112 28288 31296 33252 33904 36023 41728 42432 44336 50856 56576 62592 66504 67808 72046 83456 84864 88672 101712 108069 113152 125184 133008 135616 144092 169728 177344 203424 216138 250368 266016 271232 288184 339456 354688 406848 432276 532032 542464 576368 709376 813696 864552 1064064 1084928 1152736 1418752 1627392 1729104 2128128 2305472 3254784 3458208 4256256 4610944 6916416 9221888 13832832 18443776 27665664 55331328