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61681256 = 23713193439
BaseRepresentation
bin1110101101001…
…0111001101000
311022001201202222
43223102321220
5111242300011
610042013212
71346165510
oct353227150
9138051688
1061681256
11318aa04a
12187a7208
13ca182b0
148298840
155635ddb
hex3ad2e68

61681256 has 64 divisors (see below), whose sum is σ = 143404800. Its totient is φ = 24219648.

The previous prime is 61681237. The next prime is 61681267. The reversal of 61681256 is 65218616.

It is a happy 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, 140285 + ... + 140723.

It is an arithmetic number, because the mean of its divisors is an integer number (2240700).

Almost surely, 261681256 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 61681256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71702400).

61681256 is an abundant number, since it is smaller than the sum of its proper divisors (81723544).

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

61681256 is a wasteful number, since it uses less digits than its factorization.

61681256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 654 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 61681256 is about 7853.7415287237. The cubic root of 61681256 is about 395.1097403787.

The spelling of 61681256 in words is "sixty-one million, six hundred eighty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 193 364 386 439 728 772 878 1351 1544 1756 2509 2702 3073 3512 5018 5404 5707 6146 10036 10808 11414 12292 17563 20072 22828 24584 35126 39949 45656 70252 79898 84727 140504 159796 169454 319592 338908 593089 677816 1101451 1186178 2202902 2372356 4405804 4744712 7710157 8811608 15420314 30840628 61681256