Search a number
-
+
55906578 = 23371331367
BaseRepresentation
bin1101010101000…
…1000100010010
310220012100102000
43111101010102
5103303002303
65314134430
71246124640
oct325210422
9126170360
1055906578
1129615492
1216881416
13b775a20
1475d4190
154d94da3
hex3551112

55906578 has 128 divisors (see below), whose sum is σ = 158269440. Its totient is φ = 14230080.

The previous prime is 55906567. The next prime is 55906597. The reversal of 55906578 is 87560955.

55906578 is a `hidden beast` number, since 5 + 590 + 6 + 57 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152151 + ... + 152517.

It is an arithmetic number, because the mean of its divisors is an integer number (1236480).

Almost surely, 255906578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55906578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79134720).

55906578 is an abundant number, since it is smaller than the sum of its proper divisors (102362862).

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

55906578 is a wasteful number, since it uses less digits than its factorization.

55906578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55906578 is about 7477.0701481262. The cubic root of 55906578 is about 382.3733683084.

The spelling of 55906578 in words is "fifty-five million, nine hundred six thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 91 93 117 126 182 186 189 217 234 273 279 351 367 378 403 434 546 558 651 702 734 806 819 837 1101 1209 1302 1638 1674 1953 2202 2418 2457 2569 2821 3303 3627 3906 4771 4914 5138 5642 5859 6606 7254 7707 8463 9542 9909 10881 11377 11718 14313 15414 16926 19818 21762 22754 23121 25389 28626 33397 34131 42939 46242 50778 66794 68262 69363 76167 79639 85878 100191 102393 128817 138726 147901 152334 159278 200382 204786 238917 257634 295802 300573 307179 443703 477834 601146 614358 716751 887406 901719 1035307 1331109 1433502 1803438 2070614 2150253 2662218 3105921 3993327 4300506 6211842 7986654 9317763 18635526 27953289 55906578