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61781904 = 24324091049
BaseRepresentation
bin1110101110101…
…1011110010000
311022020211211200
43223223132100
5111304010104
610044111200
71350065112
oct353533620
9138224750
1061781904
1131968728
1218835500
13ca52052
1482c33b2
155655b39
hex3aeb790

61781904 has 60 divisors (see below), whose sum is σ = 173491500. Its totient is φ = 20524032.

The previous prime is 61781903. The next prime is 61781917. The reversal of 61781904 is 40918716.

It can be written as a sum of positive squares in 2 ways, for example, as 56250000 + 5531904 = 7500^2 + 2352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61781903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58372 + ... + 59420.

It is an arithmetic number, because the mean of its divisors is an integer number (2891525).

Almost surely, 261781904 is an apocalyptic number.

It is an amenable number.

61781904 is an abundant number, since it is smaller than the sum of its proper divisors (111709596).

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

61781904 is a wasteful number, since it uses less digits than its factorization.

61781904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 61781904 is about 7860.1465635190. The cubic root of 61781904 is about 395.3245295355.

The spelling of 61781904 in words is "sixty-one million, seven hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 818 1049 1227 1636 2098 2454 3147 3272 3681 4196 4908 6294 6544 7362 8392 9441 9816 12588 14724 16784 18882 19632 25176 29448 37764 50352 58896 75528 151056 429041 858082 1287123 1716164 2574246 3432328 3861369 5148492 6864656 7722738 10296984 15445476 20593968 30890952 61781904