Search a number
-
+
55183872 = 29337971
BaseRepresentation
bin1101001010000…
…0101000000000
310211211122001010
43102200220000
5103111340442
65250440520
71240024632
oct322405000
9124748033
1055183872
1129171507
1216593140
13b581aa3
147486a52
154ca0b9c
hex34a0a00

55183872 has 80 divisors (see below), whose sum is σ = 151142112. Its totient is φ = 17879040.

The previous prime is 55183867. The next prime is 55183879. The reversal of 55183872 is 27838155.

It is a self number, because there is not a number n which added to its sum of digits gives 55183872.

It is not an unprimeable number, because it can be changed into a prime (55183879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56347 + ... + 57317.

Almost surely, 255183872 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 55183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571056).

55183872 is an abundant number, since it is smaller than the sum of its proper divisors (95958240).

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

55183872 is an equidigital number, since it uses as much as digits as its factorization.

55183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1013 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 55183872 is about 7428.5847911968. The cubic root of 55183872 is about 380.7185664910.

The spelling of 55183872 in words is "fifty-five million, one hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 971 1184 1536 1776 1942 2368 2913 3552 3884 4736 5826 7104 7768 9472 11652 14208 15536 18944 23304 28416 31072 35927 46608 56832 62144 71854 93216 107781 124288 143708 186432 215562 248576 287416 372864 431124 497152 574832 745728 862248 1149664 1491456 1724496 2299328 3448992 4598656 6897984 9197312 13795968 18394624 27591936 55183872