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61157008 = 2411438081
BaseRepresentation
bin1110100101001…
…0111010010000
311021002002122101
43221102322100
5111124011013
610022450144
71341553213
oct351227220
9137062571
1061157008
1131581190
1218593954
13c8937a3
14819d77a
1555808dd
hex3a52e90

61157008 has 40 divisors (see below), whose sum is σ = 132286176. Its totient is φ = 27148800.

The previous prime is 61156987. The next prime is 61157009. The reversal of 61157008 is 80075116.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61157009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3528 + ... + 11608.

Almost surely, 261157008 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 61157008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66143088).

61157008 is an abundant number, since it is smaller than the sum of its proper divisors (71129168).

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

61157008 is a wasteful number, since it uses less digits than its factorization.

61157008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 61157008 is about 7820.2946236059. The cubic root of 61157008 is about 393.9871675070.

The spelling of 61157008 in words is "sixty-one million, one hundred fifty-seven thousand, eight".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 7568 8081 16162 32324 64648 88891 129296 177782 347483 355564 694966 711128 1389932 1422256 2779864 3822313 5559728 7644626 15289252 30578504 61157008