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54232152 = 233131011721
BaseRepresentation
bin1100111011100…
…0010001011000
310210001021112020
43032320101120
5102340412102
65214214440
71225652142
oct316702130
9123037466
1054232152
1128681467
12161b4420
13b30a840
1472b9c92
154b63bbc
hex33b8458

54232152 has 64 divisors (see below), whose sum is σ = 147540960. Its totient is φ = 16512000.

The previous prime is 54232147. The next prime is 54232153. The reversal of 54232152 is 25123245.

It is a super-2 number, since 2×542321522 = 5882252621102208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54232153) 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, 30652 + ... + 32372.

Almost surely, 254232152 is an apocalyptic number.

54232152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54232152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73770480).

54232152 is an abundant number, since it is smaller than the sum of its proper divisors (93308808).

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

54232152 is a wasteful number, since it uses less digits than its factorization.

54232152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1840 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 54232152 is about 7364.2482304713. The cubic root of 54232152 is about 378.5171946652.

Adding to 54232152 its reverse (25123245), we get a palindrome (79355397).

The spelling of 54232152 in words is "fifty-four million, two hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 404 606 808 1212 1313 1721 2424 2626 3442 3939 5163 5252 6884 7878 10326 10504 13768 15756 20652 22373 31512 41304 44746 67119 89492 134238 173821 178984 268476 347642 521463 536952 695284 1042926 1390568 2085852 2259673 4171704 4519346 6779019 9038692 13558038 18077384 27116076 54232152