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61918974 = 232131072473
BaseRepresentation
bin1110110000110…
…0111011111110
311022111210212100
43230030323332
5111322401344
610051045530
71351205535
oct354147376
9138453770
1061918974
1131a51707
12188a08a6
13ca9c560
14831b31c
155681569
hex3b0cefe

61918974 has 48 divisors (see below), whose sum is σ = 145886832. Its totient is φ = 18866304.

The previous prime is 61918951. The next prime is 61919003. The reversal of 61918974 is 47981916.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23802 + ... + 26274.

It is an arithmetic number, because the mean of its divisors is an integer number (3039309).

Almost surely, 261918974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61918974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72943416).

61918974 is an abundant number, since it is smaller than the sum of its proper divisors (83967858).

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

61918974 is a wasteful number, since it uses less digits than its factorization.

61918974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2598 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 61918974 is about 7868.8610357535. The cubic root of 61918974 is about 395.6166706841.

The spelling of 61918974 in words is "sixty-one million, nine hundred eighteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1391 1926 2473 2782 4173 4946 7419 8346 12519 14838 22257 25038 32149 44514 64298 96447 192894 264611 289341 529222 578682 793833 1587666 2381499 3439943 4762998 6879886 10319829 20639658 30959487 61918974