Search a number
-
+
55793088 = 2632137451
BaseRepresentation
bin1101010011010…
…1010111000000
310212222120201200
43110311113000
5103240334323
65311501200
71245143031
oct324652700
9125876650
1055793088
112954819a
1216827800
13b736180
1475a4a88
154d71443
hex35355c0

55793088 has 84 divisors (see below), whose sum is σ = 172245528. Its totient is φ = 17164800.

The previous prime is 55793081. The next prime is 55793093. The reversal of 55793088 is 88039755.

55793088 is a `hidden beast` number, since 557 + 93 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×557930882 = 6225737337151488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55793081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3763 + ... + 11213.

It is an arithmetic number, because the mean of its divisors is an integer number (2050542).

Almost surely, 255793088 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 55793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86122764).

55793088 is an abundant number, since it is smaller than the sum of its proper divisors (116452440).

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

55793088 is a wasteful number, since it uses less digits than its factorization.

55793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 55793088 is about 7469.4770901315. The cubic root of 55793088 is about 382.1144545245.

The spelling of 55793088 in words is "fifty-five million, seven hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7451 7488 14902 22353 29804 44706 59608 67059 89412 96863 119216 134118 178824 193726 238432 268236 290589 357648 387452 476864 536472 581178 715296 774904 871767 1072944 1162356 1430592 1549808 1743534 2145888 2324712 3099616 3487068 4291776 4649424 6199232 6974136 9298848 13948272 18597696 27896544 55793088