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61864902 = 232113110079
BaseRepresentation
bin1110101111111…
…1101111000110
311022102001200200
43223333233012
5111314134102
610045551330
71350562101
oct353775706
9138361620
1061864902
1131a15020
1218875546
13ca80a68
148305738
15567051c
hex3affbc6

61864902 has 48 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 18140400.

The previous prime is 61864877. The next prime is 61864909. The reversal of 61864902 is 20946816.

61864902 is a `hidden beast` number, since 6 + 1 + 8 + 649 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61864909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099 + ... + 11177.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 261864902 is an apocalyptic number.

61864902 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61864902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

61864902 is an abundant number, since it is smaller than the sum of its proper divisors (89093178).

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

61864902 is a wasteful number, since it uses less digits than its factorization.

61864902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61864902 is about 7865.4244640706. The cubic root of 61864902 is about 395.5014770517.

The spelling of 61864902 in words is "sixty-one million, eight hundred sixty-four thousand, nine hundred two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 10079 20158 30237 60474 90711 110869 181422 221738 312449 332607 624898 665214 937347 997821 1874694 1995642 2812041 3436939 5624082 6873878 10310817 20621634 30932451 61864902