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61166272 = 261723307
BaseRepresentation
bin1110100101010…
…1001011000000
311021002120100111
43221111023000
5111124310042
610023001104
71341622216
oct351251300
9137076314
1061166272
1131588142
1218599194
13c897a7b
1481a2cb6
155583517
hex3a552c0

61166272 has 42 divisors (see below), whose sum is σ = 128975612. Its totient is φ = 28775424.

The previous prime is 61166213. The next prime is 61166297. The reversal of 61166272 is 27266116.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16843 + ... + 20149.

Almost surely, 261166272 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 61166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64487806).

61166272 is an abundant number, since it is smaller than the sum of its proper divisors (67809340).

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

61166272 is a wasteful number, since it uses less digits than its factorization.

61166272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3326 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 61166272 is about 7820.8869062275. The cubic root of 61166272 is about 394.0070600915.

The spelling of 61166272 in words is "sixty-one million, one hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 3307 4624 6614 9248 13228 18496 26456 52912 56219 105824 112438 211648 224876 449752 899504 955723 1799008 1911446 3598016 3822892 7645784 15291568 30583136 61166272