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61681392 = 2433712011
BaseRepresentation
bin1110101101001…
…0111011110000
311022001201222000
43223102323300
5111242301032
610042014000
71346166063
oct353227360
9138051860
1061681392
11318aa163
12187a7300
13ca18386
1482988da
155635e7c
hex3ad2ef0

61681392 has 80 divisors (see below), whose sum is σ = 179631360. Its totient is φ = 20260800.

The previous prime is 61681387. The next prime is 61681439. The reversal of 61681392 is 29318616.

61681392 is a `hidden beast` number, since 616 + 8 + 1 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29667 + ... + 31677.

It is an arithmetic number, because the mean of its divisors is an integer number (2245392).

Almost surely, 261681392 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 61681392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89815680).

61681392 is an abundant number, since it is smaller than the sum of its proper divisors (117949968).

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

61681392 is a wasteful number, since it uses less digits than its factorization.

61681392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2087 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61681392 is about 7853.7501870126. The cubic root of 61681392 is about 395.1100307689.

The spelling of 61681392 in words is "sixty-one million, six hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 284 426 432 568 639 852 1136 1278 1704 1917 2011 2556 3408 3834 4022 5112 6033 7668 8044 10224 12066 15336 16088 18099 24132 30672 32176 36198 48264 54297 72396 96528 108594 142781 144792 217188 285562 289584 428343 434376 571124 856686 868752 1142248 1285029 1713372 2284496 2570058 3426744 3855087 5140116 6853488 7710174 10280232 15420348 20560464 30840696 61681392