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61665456 = 24311311369
BaseRepresentation
bin1110101100111…
…1000010110000
311022000221002210
43223033002300
5111241243311
610041412120
71346101446
oct353170260
9138027083
1061665456
1131899196
121879a040
13ca11048
148292b96
1556313a6
hex3acf0b0

61665456 has 40 divisors (see below), whose sum is σ = 160726320. Its totient is φ = 20371456.

The previous prime is 61665437. The next prime is 61665473. The reversal of 61665456 is 65456616.

61665456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 261 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (4018158).

Almost surely, 261665456 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 61665456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80363160).

61665456 is an abundant number, since it is smaller than the sum of its proper divisors (99060864).

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

61665456 is a wasteful number, since it uses less digits than its factorization.

61665456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11493 (or 11487 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 61665456 is about 7852.7355743078. The cubic root of 61665456 is about 395.0760009717.

The spelling of 61665456 in words is "sixty-one million, six hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 11369 22738 34107 45476 68214 90952 136428 181904 272856 545712 1284697 2569394 3854091 5138788 7708182 10277576 15416364 20555152 30832728 61665456