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61331256 = 233574507
BaseRepresentation
bin1110100111110…
…1011100111000
311021101221200000
43221331130320
5111200100011
610030313000
71343210220
oct351753470
9137357600
1061331256
1131690098
1218658760
13c924bac
148207080
1555b7356
hex3a7d738

61331256 has 96 divisors (see below), whose sum is σ = 196909440. Its totient is φ = 17519328.

The previous prime is 61331233. The next prime is 61331261. The reversal of 61331256 is 65213316.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11355 + ... + 15861.

It is an arithmetic number, because the mean of its divisors is an integer number (2051140).

Almost surely, 261331256 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 61331256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98454720).

61331256 is an abundant number, since it is smaller than the sum of its proper divisors (135578184).

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

61331256 is a wasteful number, since it uses less digits than its factorization.

61331256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4519 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 61331256 is about 7831.4274560900. The cubic root of 61331256 is about 394.3609942677.

The spelling of 61331256 in words is "sixty-one million, three hundred thirty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4507 4536 6804 9014 13521 13608 18028 27042 31549 36056 40563 54084 63098 81126 94647 108168 121689 126196 162252 189294 243378 252392 283941 324504 365067 378588 486756 567882 730134 757176 851823 973512 1095201 1135764 1460268 1703646 2190402 2271528 2555469 2920536 3407292 4380804 5110938 6814584 7666407 8761608 10221876 15332814 20443752 30665628 61331256