Search a number
-
+
54646992 = 24321991907
BaseRepresentation
bin1101000001110…
…1100011010000
310210211100120200
43100131203100
5102442200432
65231135200
71232330451
oct320354320
9123740520
1054646992
1128935104
1216374500
13b4245ca
147387128
154be6a7c
hex341d8d0

54646992 has 60 divisors (see below), whose sum is σ = 153784800. Its totient is φ = 18114624.

The previous prime is 54646981. The next prime is 54647029. The reversal of 54646992 is 29964645.

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 11 ways as a sum of consecutive naturals, for example, 27703 + ... + 29609.

It is an arithmetic number, because the mean of its divisors is an integer number (2563080).

Almost surely, 254646992 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 54646992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76892400).

54646992 is an abundant number, since it is smaller than the sum of its proper divisors (99137808).

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

54646992 is a wasteful number, since it uses less digits than its factorization.

54646992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2111 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 54646992 is about 7392.3603808256. The cubic root of 54646992 is about 379.4798793667.

The spelling of 54646992 in words is "fifty-four million, six hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 1907 2388 3184 3582 3814 4776 5721 7164 7628 9552 11442 14328 15256 17163 22884 28656 30512 34326 45768 68652 91536 137304 274608 379493 758986 1138479 1517972 2276958 3035944 3415437 4553916 6071888 6830874 9107832 13661748 18215664 27323496 54646992