Search a number
-
+
54268960 = 2552314747
BaseRepresentation
bin1100111100000…
…1010000100000
310210010011000111
43033001100200
5102343101320
65215101104
71226164354
oct317012040
9123104014
1054268960
11286a7089
1216211794
13b321515
1472c9464
154b6ea5a
hex33c1420

54268960 has 48 divisors (see below), whose sum is σ = 133793856. Its totient is φ = 20762368.

The previous prime is 54268957. The next prime is 54268993. The reversal of 54268960 is 6986245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3694 + ... + 11053.

It is an arithmetic number, because the mean of its divisors is an integer number (2787372).

Almost surely, 254268960 is an apocalyptic number.

It is an amenable number.

54268960 is an abundant number, since it is smaller than the sum of its proper divisors (79524896).

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

54268960 is a wasteful number, since it uses less digits than its factorization.

54268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14785 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 54268960 is about 7366.7469075570. The cubic root of 54268960 is about 378.6028099908.

The spelling of 54268960 in words is "fifty-four million, two hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 14747 29494 58988 73735 117976 147470 235952 294940 339181 471904 589880 678362 1179760 1356724 1695905 2359520 2713448 3391810 5426896 6783620 10853792 13567240 27134480 54268960