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55806408 = 233671367
BaseRepresentation
bin1101010011100…
…0100111001000
310220000021000000
43110320213020
5103241301113
65312043000
71245226620
oct324704710
9126007000
1055806408
11295571a9
1216833460
13b73c258
1475a9880
154d75373
hex35389c8

55806408 has 112 divisors (see below), whose sum is σ = 179426880. Its totient is φ = 15933024.

The previous prime is 55806407. The next prime is 55806431. The reversal of 55806408 is 80460855.

It is a happy number.

55806408 is a `hidden beast` number, since 5 + 5 + 8 + 0 + 640 + 8 = 666.

It is a super-2 number, since 2×558064082 = 6228710347724928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55806407) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40141 + ... + 41507.

Almost surely, 255806408 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 55806408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89713440).

55806408 is an abundant number, since it is smaller than the sum of its proper divisors (123620472).

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

55806408 is a wasteful number, since it uses less digits than its factorization.

55806408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 55806408 is about 7470.3686656015. The cubic root of 55806408 is about 382.1448606777.

The spelling of 55806408 in words is "fifty-five million, eight hundred six thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1367 1458 1512 1701 1944 2268 2734 2916 3402 4101 4536 5103 5468 5832 6804 8202 9569 10206 10936 12303 13608 16404 19138 20412 24606 28707 32808 36909 38276 40824 49212 57414 73818 76552 86121 98424 110727 114828 147636 172242 221454 229656 258363 295272 332181 344484 442908 516726 664362 688968 775089 885816 996543 1033452 1328724 1550178 1993086 2066904 2325267 2657448 3100356 3986172 4650534 6200712 6975801 7972344 9301068 13951602 18602136 27903204 55806408