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55621764 = 22321121132
BaseRepresentation
bin1101010000101…
…1100010000100
310212122212201100
43110023202010
5103214344024
65304100100
71243530402
oct324134204
9125585640
1055621764
1129440500
1216764630
13b6a61b3
14755c472
154d3a7c9
hex350b884

55621764 has 81 divisors (see below), whose sum is σ = 155922949. Its totient is φ = 16705920.

The previous prime is 55621757. The next prime is 55621777. The reversal of 55621764 is 46712655.

It is a happy number.

The square root of 55621764 is 7458.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 980100 + 54641664 = 990^2 + 7392^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 492172 + ... + 492284.

Almost surely, 255621764 is an apocalyptic number.

55621764 is the 7458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55621764

55621764 is an abundant number, since it is smaller than the sum of its proper divisors (100301185).

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

55621764 is a wasteful number, since it uses less digits than its factorization.

55621764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The cubic root of 55621764 is about 381.7229335079.

Multiplying 55621764 by its sum of digits (36), we get a square (2002383504 = 447482).

55621764 divided by its sum of digits (36) gives a square (1545049 = 12432).

The spelling of 55621764 in words is "fifty-five million, six hundred twenty-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 121 132 198 226 242 339 363 396 452 484 678 726 1017 1089 1243 1356 1452 2034 2178 2486 3729 4068 4356 4972 7458 11187 12769 13673 14916 22374 25538 27346 38307 41019 44748 51076 54692 76614 82038 114921 123057 140459 153228 164076 229842 246114 280918 421377 459684 492228 561836 842754 1264131 1545049 1685508 2528262 3090098 4635147 5056524 6180196 9270294 13905441 18540588 27810882 55621764