Search a number
-
+
55473768 = 23337191931
BaseRepresentation
bin1101001110011…
…1011001101000
310212101100201000
43103213121220
5103200130033
65300555000
71242343050
oct323473150
9125340630
1055473768
112934a299
12166b2a60
13b653a1c
147520560
154d0ba13
hex34e7668

55473768 has 128 divisors (see below), whose sum is σ = 185472000. Its totient is φ = 15007680.

The previous prime is 55473763. The next prime is 55473773. The reversal of 55473768 is 86737455.

55473768 is a `hidden beast` number, since 554 + 7 + 37 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (55473763) and next prime (55473773).

It is a super-2 number, since 2×554737682 = 6154677872235648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55473763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27763 + ... + 29693.

It is an arithmetic number, because the mean of its divisors is an integer number (1449000).

Almost surely, 255473768 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 55473768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736000).

55473768 is an abundant number, since it is smaller than the sum of its proper divisors (129998232).

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

55473768 is a wasteful number, since it uses less digits than its factorization.

55473768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1962 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 55473768 is about 7448.0714282289. The cubic root of 55473768 is about 381.3840754631.

The spelling of 55473768 in words is "fifty-five million, four hundred seventy-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 1931 2052 2394 3192 3591 3862 4104 4788 5793 7182 7724 9576 11586 13517 14364 15448 17379 23172 27034 28728 34758 36689 40551 46344 52137 54068 69516 73378 81102 104274 108136 110067 121653 139032 146756 162204 208548 220134 243306 256823 293512 324408 330201 364959 417096 440268 486612 513646 660402 729918 770469 880536 973224 990603 1027292 1320804 1459836 1540938 1981206 2054584 2311407 2641608 2919672 3081876 3962412 4622814 6163752 6934221 7924824 9245628 13868442 18491256 27736884 55473768