Search a number
-
+
54588940 = 22572531051
BaseRepresentation
bin1101000000111…
…1011000001100
310210201101221121
43100033120030
5102433321230
65230010324
71231666300
oct320173014
9123641847
1054588940
11288a552a
12163469a4
13b404063
14736dd00
154bd477a
hex340f60c

54588940 has 72 divisors (see below), whose sum is σ = 135998352. Its totient is φ = 18345600.

The previous prime is 54588931. The next prime is 54588967. The reversal of 54588940 is 4988545.

It is a happy 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, 51415 + ... + 52465.

It is an arithmetic number, because the mean of its divisors is an integer number (1888866).

Almost surely, 254588940 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 54588940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67999176).

54588940 is an abundant number, since it is smaller than the sum of its proper divisors (81409412).

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

54588940 is a wasteful number, since it uses less digits than its factorization.

54588940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 54588940 is about 7388.4328514239. The cubic root of 54588940 is about 379.3454567725.

The spelling of 54588940 in words is "fifty-four million, five hundred eighty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1051 1060 1484 1855 2102 2597 3710 4204 5194 5255 7357 7420 10388 10510 12985 14714 21020 25970 29428 36785 51499 51940 55703 73570 102998 111406 147140 205996 222812 257495 278515 389921 514990 557030 779842 1029980 1114060 1559684 1949605 2729447 3899210 5458894 7798420 10917788 13647235 27294470 54588940