Search a number
-
+
54457568 = 2511712179
BaseRepresentation
bin1100111110111…
…1010011100000
310210110201201222
43033233103200
5102420120233
65223114212
71230611264
oct317572340
9123421658
1054457568
1128815860
12162a2968
13b389319
1473380a4
154baa898
hex33ef4e0

54457568 has 48 divisors (see below), whose sum is σ = 118661760. Its totient is φ = 24393600.

The previous prime is 54457561. The next prime is 54457573. The reversal of 54457568 is 86575445.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54457561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23903 + ... + 26081.

It is an arithmetic number, because the mean of its divisors is an integer number (2472120).

Almost surely, 254457568 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 54457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59330880).

54457568 is an abundant number, since it is smaller than the sum of its proper divisors (64204192).

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

54457568 is a wasteful number, since it uses less digits than its factorization.

54457568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2263 counting only the distinct ones).

The product of its digits is 672000, while the sum is 44.

The square root of 54457568 is about 7379.5371128547. The cubic root of 54457568 is about 379.0409054458.

The spelling of 54457568 in words is "fifty-four million, four hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 2179 2272 3124 4358 6248 8716 12496 17432 23969 24992 34864 47938 69728 95876 154709 191752 309418 383504 618836 767008 1237672 1701799 2475344 3403598 4950688 6807196 13614392 27228784 54457568