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61652268 = 223217131769
BaseRepresentation
bin1110101100101…
…1110100101100
311022000021000100
43223023310230
5111240333033
610041231100
71346015136
oct353136454
9138007010
1061652268
113188a297
1218792490
13ca08042
14828c056
15562c513
hex3acbd2c

61652268 has 72 divisors (see below), whose sum is σ = 166486320. Its totient is φ = 19169280.

The previous prime is 61652267. The next prime is 61652291. The reversal of 61652268 is 86225616.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61652263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79788 + ... + 80556.

It is an arithmetic number, because the mean of its divisors is an integer number (2312310).

Almost surely, 261652268 is an apocalyptic number.

61652268 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61652268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243160).

61652268 is an abundant number, since it is smaller than the sum of its proper divisors (104834052).

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

61652268 is a wasteful number, since it uses less digits than its factorization.

61652268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 922 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 61652268 is about 7851.8958220292. The cubic root of 61652268 is about 395.0478348308.

The spelling of 61652268 in words is "sixty-one million, six hundred fifty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 612 769 786 1179 1538 1572 2227 2307 2358 3076 4454 4614 4716 6681 6921 8908 9228 13073 13362 13842 20043 26146 26724 27684 39219 40086 52292 78438 80172 100739 117657 156876 201478 235314 302217 402956 470628 604434 906651 1208868 1712563 1813302 3425126 3626604 5137689 6850252 10275378 15413067 20550756 30826134 61652268