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61372256 = 2511792207
BaseRepresentation
bin1110101000011…
…1011101100000
311021111000220112
43222013131200
5111202403011
610031230452
71343440601
oct352073540
9137430815
1061372256
1131708980
1218678428
13c93a75a
148217da8
1555c458b
hex3a87760

61372256 has 48 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 27530880.

The previous prime is 61372231. The next prime is 61372277. The reversal of 61372256 is 65227316.

61372256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26705 + ... + 28911.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 261372256 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 61372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

61372256 is an abundant number, since it is smaller than the sum of its proper divisors (72167584).

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

61372256 is a wasteful number, since it uses less digits than its factorization.

61372256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 61372256 is about 7834.0446769214. The cubic root of 61372256 is about 394.4488515866.

The spelling of 61372256 in words is "sixty-one million, three hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1264 1738 2207 2528 3476 4414 6952 8828 13904 17656 24277 27808 35312 48554 70624 97108 174353 194216 348706 388432 697412 776864 1394824 1917883 2789648 3835766 5579296 7671532 15343064 30686128 61372256