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61555296 = 2531171821
BaseRepresentation
bin1110101011010…
…0001001100000
311021211022222210
43222310021200
5111224232141
610035202120
71345132335
oct352641140
9137738883
1061555296
1131823450
1218746340
13c9a2b6a
14826498c
15560d916
hex3ab4260

61555296 has 96 divisors (see below), whose sum is σ = 178972416. Its totient is φ = 18368000.

The previous prime is 61555271. The next prime is 61555331. The reversal of 61555296 is 69255516.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74566 + ... + 75386.

It is an arithmetic number, because the mean of its divisors is an integer number (1864296).

Almost surely, 261555296 is an apocalyptic number.

61555296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61555296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89486208).

61555296 is an abundant number, since it is smaller than the sum of its proper divisors (117417120).

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

61555296 is a wasteful number, since it uses less digits than its factorization.

61555296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its digits is 81000, while the sum is 39.

The square root of 61555296 is about 7845.7183227541. The cubic root of 61555296 is about 394.8406043835.

The spelling of 61555296 in words is "sixty-one million, five hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 132 142 176 213 264 284 352 426 528 568 781 821 852 1056 1136 1562 1642 1704 2272 2343 2463 3124 3284 3408 4686 4926 6248 6568 6816 9031 9372 9852 12496 13136 18062 18744 19704 24992 26272 27093 36124 37488 39408 54186 58291 72248 74976 78816 108372 116582 144496 174873 216744 233164 288992 349746 433488 466328 641201 699492 866976 932656 1282402 1398984 1865312 1923603 2564804 2797968 3847206 5129608 5595936 7694412 10259216 15388824 20518432 30777648 61555296