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54040128 = 263377607
BaseRepresentation
bin1100111000100…
…1011001000000
310202200112010020
43032021121000
5102313241003
65210133440
71224222252
oct316113100
9122615106
1054040128
112856016a
1216121280
13b27130c
147269cd2
154b26d53
hex3389640

54040128 has 56 divisors (see below), whose sum is σ = 146864832. Its totient is φ = 17524224.

The previous prime is 54040111. The next prime is 54040141. The reversal of 54040128 is 82104045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 54040098 and 54040107.

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, 3301 + ... + 10907.

Almost surely, 254040128 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 54040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73432416).

54040128 is an abundant number, since it is smaller than the sum of its proper divisors (92824704).

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

54040128 is a wasteful number, since it uses less digits than its factorization.

54040128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 54040128 is about 7351.1990858635. The cubic root of 54040128 is about 378.0699179196.

The spelling of 54040128 in words is "fifty-four million, forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 7607 15214 22821 30428 45642 60856 91284 121712 182568 243424 281459 365136 486848 562918 730272 844377 1125836 1460544 1688754 2251672 3377508 4503344 6755016 9006688 13510032 18013376 27020064 54040128