Search a number
-
+
55316052 = 223211413407
BaseRepresentation
bin1101001100000…
…0111001010100
310212002100100200
43103000321110
5103130103202
65253340500
71241115201
oct323007124
9125070320
1055316052
1129251850
1216637730
13b5c9cbc
1474bcca8
154cc9e1c
hex34c0e54

55316052 has 72 divisors (see below), whose sum is σ = 156304512. Its totient is φ = 16348800.

The previous prime is 55316033. The next prime is 55316077. The reversal of 55316052 is 25061355.

55316052 is a `hidden beast` number, since 5 + 53 + 1 + 605 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14533 + ... + 17939.

It is an arithmetic number, because the mean of its divisors is an integer number (2170896).

Almost surely, 255316052 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 55316052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78152256).

55316052 is an abundant number, since it is smaller than the sum of its proper divisors (100988460).

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

55316052 is a wasteful number, since it uses less digits than its factorization.

55316052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55316052 is about 7437.4761848358. The cubic root of 55316052 is about 381.0222980729.

The spelling of 55316052 in words is "fifty-five million, three hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 3407 4059 5412 6814 8118 10221 13628 16236 20442 30663 37477 40884 61326 74954 112431 122652 139687 149908 224862 279374 337293 419061 449724 558748 674586 838122 1257183 1349172 1536557 1676244 2514366 3073114 4609671 5028732 6146228 9219342 13829013 18438684 27658026 55316052