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52582428 = 223217151569
BaseRepresentation
bin1100100010010…
…1100000011100
310122221110112100
43020211200130
5101430114203
65115005100
71205641353
oct310454034
9118843470
1052582428
1127754a58
1215739790
13ab80982
146daa99a
154939ea3
hex322581c

52582428 has 72 divisors (see below), whose sum is σ = 141916320. Its totient is φ = 16358400.

The previous prime is 52582399. The next prime is 52582433. The reversal of 52582428 is 82428525.

52582428 is a `hidden beast` number, since 52 + 582 + 4 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52582392 and 52582401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92128 + ... + 92696.

It is an arithmetic number, because the mean of its divisors is an integer number (1971060).

Almost surely, 252582428 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 52582428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70958160).

52582428 is an abundant number, since it is smaller than the sum of its proper divisors (89333892).

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

52582428 is a wasteful number, since it uses less digits than its factorization.

52582428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 742 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 52582428 is about 7251.3742145886. The cubic root of 52582428 is about 374.6394828508.

The spelling of 52582428 in words is "fifty-two million, five hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 151 153 204 302 306 453 569 604 612 906 1138 1359 1707 1812 2276 2567 2718 3414 5121 5134 5436 6828 7701 9673 10242 10268 15402 19346 20484 23103 29019 30804 38692 46206 58038 85919 87057 92412 116076 171838 174114 257757 343676 348228 515514 773271 1031028 1460623 1546542 2921246 3093084 4381869 5842492 8763738 13145607 17527476 26291214 52582428