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61061568 = 2633110259
BaseRepresentation
bin1110100011101…
…1100111000000
311020220020201120
43220323213000
5111112432233
610020432240
71341005031
oct350734700
9136806646
1061061568
1131516507
1218548680
13c85c209
148176a88
1555624b3
hex3a3b9c0

61061568 has 56 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 19695360.

The previous prime is 61061551. The next prime is 61061579. The reversal of 61061568 is 86516016.

61061568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 823 + ... + 11081.

Almost surely, 261061568 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 61061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

61061568 is an abundant number, since it is smaller than the sum of its proper divisors (105724992).

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

61061568 is a wasteful number, since it uses less digits than its factorization.

61061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10295 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 61061568 is about 7814.1901691730. The cubic root of 61061568 is about 393.7821121706.

The spelling of 61061568 in words is "sixty-one million, sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 10259 20518 30777 41036 61554 82072 123108 164144 246216 318029 328288 492432 636058 656576 954087 984864 1272116 1908174 1969728 2544232 3816348 5088464 7632696 10176928 15265392 20353856 30530784 61061568