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61252542 = 232131923599
BaseRepresentation
bin1110100110101…
…0001110111110
311021020221200200
43221222032332
5111140040132
610024504330
71342431561
oct351521676
9137227620
1061252542
1131636a3a
121861b0a6
13c8c8110
1481c64d8
15559dd7c
hex3a6a3be

61252542 has 96 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 17050176.

The previous prime is 61252537. The next prime is 61252573. The reversal of 61252542 is 24525216.

61252542 is a `hidden beast` number, since 612 + 5 + 2 + 5 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101959 + ... + 102557.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 261252542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61252542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

61252542 is an abundant number, since it is smaller than the sum of its proper divisors (95995458).

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

61252542 is a wasteful number, since it uses less digits than its factorization.

61252542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 659 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 61252542 is about 7826.4003219871. The cubic root of 61252542 is about 394.1922112648.

Adding to 61252542 its reverse (24525216), we get a palindrome (85777758).

The spelling of 61252542 in words is "sixty-one million, two hundred fifty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 23 26 38 39 46 57 69 78 114 117 138 171 207 234 247 299 342 414 437 494 598 599 741 874 897 1198 1311 1482 1794 1797 2223 2622 2691 3594 3933 4446 5382 5391 5681 7787 7866 10782 11362 11381 13777 15574 17043 22762 23361 27554 34086 34143 41331 46722 51129 68286 70083 82662 102258 102429 123993 140166 147953 179101 204858 247986 261763 295906 358202 443859 523526 537303 785289 887718 1074606 1331577 1570578 1611909 2355867 2663154 3223818 3402919 4711734 6805838 10208757 20417514 30626271 61252542