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61255216 = 24111759347
BaseRepresentation
bin1110100110101…
…0111000110000
311021021002100201
43221222320300
5111140131331
610024524544
71342442431
oct351527060
9137232321
1061255216
1131638a50
1218620754
13c8c93b9
1481c7488
15559ea61
hex3a6ae30

61255216 has 80 divisors (see below), whose sum is σ = 139812480. Its totient is φ = 25687040.

The previous prime is 61255151. The next prime is 61255217.

61255216 is nontrivially palindromic in base 7 and base 10.

61255216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61255217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 176355 + ... + 176701.

It is an arithmetic number, because the mean of its divisors is an integer number (1747656).

Almost surely, 261255216 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 61255216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69906240).

61255216 is an abundant number, since it is smaller than the sum of its proper divisors (78557264).

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

61255216 is a wasteful number, since it uses less digits than its factorization.

61255216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 61255216 is about 7826.5711521713. The cubic root of 61255216 is about 394.1979473785.

The spelling of 61255216 in words is "sixty-one million, two hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 34 44 59 68 88 118 136 176 187 236 272 347 374 472 649 694 748 944 1003 1298 1388 1496 2006 2596 2776 2992 3817 4012 5192 5552 5899 7634 8024 10384 11033 11798 15268 16048 20473 22066 23596 30536 40946 44132 47192 61072 64889 81892 88264 94384 129778 163784 176528 225203 259556 327568 348041 450406 519112 696082 900812 1038224 1392164 1801624 2784328 3603248 3828451 5568656 7656902 15313804 30627608 61255216