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61904934 = 23272135399
BaseRepresentation
bin1110110000100…
…1100000100110
311022111002121100
43230021200212
5111321424214
610050500530
71351116600
oct354114046
9138432540
1061904934
1131a42103
1218894746
13ca96050
148316170
15567c309
hex3b09826

61904934 has 72 divisors (see below), whose sum is σ = 168058800. Its totient is φ = 16323552.

The previous prime is 61904911. The next prime is 61904963. The reversal of 61904934 is 43940916.

61904934 is a `hidden beast` number, since 619 + 0 + 4 + 9 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8767 + ... + 14165.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 261904934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61904934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

61904934 is an abundant number, since it is smaller than the sum of its proper divisors (106153866).

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

61904934 is a wasteful number, since it uses less digits than its factorization.

61904934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 61904934 is about 7867.9688611483. The cubic root of 61904934 is about 395.5867666683.

The spelling of 61904934 in words is "sixty-one million, nine hundred four thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5399 5733 10798 11466 16197 32394 37793 48591 70187 75586 97182 113379 140374 210561 226758 264551 340137 421122 491309 529102 631683 680274 793653 982618 1263366 1473927 1587306 2380959 2947854 3439163 4421781 4761918 6878326 8843562 10317489 20634978 30952467 61904934