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61325936 = 24717311039
BaseRepresentation
bin1110100111110…
…0001001110000
311021101200100222
43221330021300
5111144412221
610030232212
71343155550
oct351741160
9137350328
1061325936
11316870a1
1218655668
13c922649
148205160
1555b59ab
hex3a7c270

61325936 has 80 divisors (see below), whose sum is σ = 148561920. Its totient is φ = 23915520.

The previous prime is 61325933. The next prime is 61325959. The reversal of 61325936 is 63952316.

61325936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61325896 and 61325905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61325933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58505 + ... + 59543.

It is an arithmetic number, because the mean of its divisors is an integer number (1857024).

Almost surely, 261325936 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 61325936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

61325936 is an abundant number, since it is smaller than the sum of its proper divisors (87235984).

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

61325936 is a wasteful number, since it uses less digits than its factorization.

61325936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its digits is 29160, while the sum is 35.

The square root of 61325936 is about 7831.0877916162. The cubic root of 61325936 is about 394.3495913752.

The spelling of 61325936 in words is "sixty-one million, three hundred twenty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 434 476 496 527 868 952 1039 1054 1736 1904 2078 2108 3472 3689 4156 4216 7273 7378 8312 8432 14546 14756 16624 17663 29092 29512 32209 35326 58184 59024 64418 70652 116368 123641 128836 141304 225463 247282 257672 282608 450926 494564 515344 547553 901852 989128 1095106 1803704 1978256 2190212 3607408 3832871 4380424 7665742 8760848 15331484 30662968 61325936