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61795072 = 281991213
BaseRepresentation
bin1110101110111…
…0101100000000
311022021111220101
43223232230000
5111304420242
610044252144
71350151363
oct353565400
9138244811
1061795072
1131977609
1218841054
13ca58041
1482c80da
1556599b7
hex3aeeb00

61795072 has 36 divisors (see below), whose sum is σ = 124070800. Its totient is φ = 30716928.

The previous prime is 61795039. The next prime is 61795073. The reversal of 61795072 is 27059716.

61795072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61795073) 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 3 ways as a sum of consecutive naturals, for example, 50338 + ... + 51550.

Almost surely, 261795072 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 61795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62035400).

61795072 is an abundant number, since it is smaller than the sum of its proper divisors (62275728).

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

61795072 is a wasteful number, since it uses less digits than its factorization.

61795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 61795072 is about 7860.9841623044. The cubic root of 61795072 is about 395.3526136144.

The spelling of 61795072 in words is "sixty-one million, seven hundred ninety-five thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 199 256 398 796 1213 1592 2426 3184 4852 6368 9704 12736 19408 25472 38816 50944 77632 155264 241387 310528 482774 965548 1931096 3862192 7724384 15448768 30897536 61795072