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61351056 = 24321322521
BaseRepresentation
bin1110101000001…
…0010010010000
311021102221211100
43222002102100
5111201213211
610030544400
71343322024
oct352022220
9137387740
1061351056
11316a3a58
1218668100
13c930c00
148210384
1555bd156
hex3a82490

61351056 has 90 divisors (see below), whose sum is σ = 185994978. Its totient is φ = 18869760.

The previous prime is 61351049. The next prime is 61351093. The reversal of 61351056 is 65015316.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8294400 + 53056656 = 2880^2 + 7284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23076 + ... + 25596.

Almost surely, 261351056 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 61351056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92997489).

61351056 is an abundant number, since it is smaller than the sum of its proper divisors (124643922).

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

61351056 is a wasteful number, since it uses less digits than its factorization.

61351056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 61351056 is about 7832.6914914351. The cubic root of 61351056 is about 394.4034278112.

The spelling of 61351056 in words is "sixty-one million, three hundred fifty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2521 2704 3042 4056 5042 6084 7563 8112 10084 12168 15126 20168 22689 24336 30252 32773 40336 45378 60504 65546 90756 98319 121008 131092 181512 196638 262184 294957 363024 393276 426049 524368 589914 786552 852098 1179828 1278147 1573104 1704196 2359656 2556294 3408392 3834441 4719312 5112588 6816784 7668882 10225176 15337764 20450352 30675528 61351056