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54232040 = 23517173461
BaseRepresentation
bin1100111011100…
…0001111101000
310210001021101002
43032320033220
5102340411130
65214214132
71225651622
oct316701750
9123037332
1054232040
1128681375
12161b4348
13b30a785
1472b9c12
154b63b45
hex33b83e8

54232040 has 64 divisors (see below), whose sum is σ = 130228560. Its totient is φ = 20254720.

The previous prime is 54232007. The next prime is 54232049. The reversal of 54232040 is 4023245.

It can be written as a sum of positive squares in 8 ways, for example, as 38912644 + 15319396 = 6238^2 + 3914^2 .

It is a super-2 number, since 2×542320402 = 5882228325123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (54232049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117410 + ... + 117870.

Almost surely, 254232040 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 54232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65114280).

54232040 is an abundant number, since it is smaller than the sum of its proper divisors (75996520).

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

54232040 is a wasteful number, since it uses less digits than its factorization.

54232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 54232040 is about 7364.2406261610. The cubic root of 54232040 is about 378.5169340944.

Adding to 54232040 its reverse (4023245), we get a palindrome (58255285).

The spelling of 54232040 in words is "fifty-four million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 461 680 692 865 922 1384 1730 1844 2305 2941 3460 3688 4610 5882 6920 7837 9220 11764 14705 15674 18440 23528 29410 31348 39185 58820 62696 78370 79753 117640 156740 159506 313480 319012 398765 638024 797530 1355801 1595060 2711602 3190120 5423204 6779005 10846408 13558010 27116020 54232040