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61144896 = 2633110273
BaseRepresentation
bin1110100100111…
…1111101000000
311021001111000210
43221033331000
5111123114041
610022314120
71341503001
oct351177500
9137044023
1061144896
113157307a
1218588940
13c88b117
1481991a8
15557c016
hex3a4ff40

61144896 has 56 divisors (see below), whose sum is σ = 167014144. Its totient is φ = 19722240.

The previous prime is 61144871. The next prime is 61144901. The reversal of 61144896 is 69844116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816 + ... + 11088.

Almost surely, 261144896 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 61144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83507072).

61144896 is an abundant number, since it is smaller than the sum of its proper divisors (105869248).

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

61144896 is a wasteful number, since it uses less digits than its factorization.

61144896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10319 (or 10309 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 61144896 is about 7819.5201898838. The cubic root of 61144896 is about 393.9611563826.

The spelling of 61144896 in words is "sixty-one million, one hundred forty-four thousand, eight hundred ninety-six".

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 10273 20546 30819 41092 61638 82184 123276 164368 246552 318463 328736 493104 636926 657472 955389 986208 1273852 1910778 1972416 2547704 3821556 5095408 7643112 10190816 15286224 20381632 30572448 61144896