Search a number
-
+
61910244 = 22341129599
BaseRepresentation
bin1110110000101…
…0110011100100
311022111100220000
43230022303210
5111322111434
610050541300
71351141224
oct354126344
9138440800
1061910244
1131a460a0
1218897830
13ca985a6
148318084
15567db99
hex3b0ace4

61910244 has 120 divisors (see below), whose sum is σ = 182952000. Its totient is φ = 18083520.

The previous prime is 61910161. The next prime is 61910257. The reversal of 61910244 is 44201916.

61910244 is a `hidden beast` number, since 619 + 1 + 0 + 2 + 44 = 666.

61910244 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 (27).

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 39 ways as a sum of consecutive naturals, for example, 103057 + ... + 103655.

It is an arithmetic number, because the mean of its divisors is an integer number (1524600).

Almost surely, 261910244 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 61910244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476000).

61910244 is an abundant number, since it is smaller than the sum of its proper divisors (121041756).

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

61910244 is a wasteful number, since it uses less digits than its factorization.

61910244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 61910244 is about 7868.3062980542. The cubic root of 61910244 is about 395.5980770520.

The spelling of 61910244 in words is "sixty-one million, nine hundred ten thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 319 324 348 396 522 594 599 638 783 891 957 1044 1188 1198 1276 1566 1782 1797 1914 2349 2396 2871 3132 3564 3594 3828 4698 5391 5742 6589 7188 8613 9396 10782 11484 13178 16173 17226 17371 19767 21564 25839 26356 32346 34452 34742 39534 48519 51678 52113 59301 64692 69484 79068 97038 103356 104226 118602 156339 177903 191081 194076 208452 237204 312678 355806 382162 469017 533709 573243 625356 711612 764324 938034 1067418 1146486 1407051 1719729 1876068 2134836 2292972 2814102 3439458 5159187 5628204 6878916 10318374 15477561 20636748 30955122 61910244