Search a number
-
+
55100864 = 267139461
BaseRepresentation
bin1101001000110…
…0010111000000
310211200102011202
43102030113000
5103101211424
65245000332
71236230630
oct322142700
9124612152
1055100864
1129115105
12165530a8
13b553080
1474646c0
154c862ae
hex348c5c0

55100864 has 56 divisors (see below), whose sum is σ = 134587488. Its totient is φ = 21795840.

The previous prime is 55100861. The next prime is 55100869. The reversal of 55100864 is 46800155.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×551008642 = 6072210427092992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55100861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094 + ... + 10554.

It is an arithmetic number, because the mean of its divisors is an integer number (2403348).

Almost surely, 255100864 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 55100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67293744).

55100864 is an abundant number, since it is smaller than the sum of its proper divisors (79486624).

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

55100864 is a wasteful number, since it uses less digits than its factorization.

55100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 55100864 is about 7422.9956217150. The cubic root of 55100864 is about 380.5275774420.

The spelling of 55100864 in words is "fifty-five million, one hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 9461 18922 37844 66227 75688 122993 132454 151376 245986 264908 302752 491972 529816 605504 860951 983944 1059632 1721902 1967888 2119264 3443804 3935776 4238528 6887608 7871552 13775216 27550432 55100864