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54574480 = 2451136037
BaseRepresentation
bin1101000000101…
…1110110010000
310210200200010001
43100023312100
5102432340410
65225415344
71231606162
oct320136620
9123620101
1054574480
1128895684
121633a554
13b3ca5bc
147368932
154bd033a
hex340bd90

54574480 has 40 divisors (see below), whose sum is σ = 128029752. Its totient is φ = 21633024.

The previous prime is 54574459. The next prime is 54574493. The reversal of 54574480 is 8447545.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 53056656 = 1232^2 + 7284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 6022 + ... + 12058.

Almost surely, 254574480 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 54574480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64014876).

54574480 is an abundant number, since it is smaller than the sum of its proper divisors (73455272).

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

54574480 is a wasteful number, since it uses less digits than its factorization.

54574480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6157 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The square root of 54574480 is about 7387.4542299767. The cubic root of 54574480 is about 379.3119590242.

The spelling of 54574480 in words is "fifty-four million, five hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 6037 9040 12074 24148 30185 48296 60370 96592 120740 241480 482960 682181 1364362 2728724 3410905 5457448 6821810 10914896 13643620 27287240 54574480