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61337696 = 25761672
BaseRepresentation
bin1110100111111…
…1000001100000
311021102021111112
43221333001200
5111200301241
610030402452
71343235050
oct351770140
9137367445
1061337696
1131694a12
1218660428
13c927ac4
148209560
1555b91eb
hex3a7f060

61337696 has 72 divisors (see below), whose sum is σ = 142397136. Its totient is φ = 25470720.

The previous prime is 61337657. The next prime is 61337701. The reversal of 61337696 is 69673316.

61337696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 915455 + ... + 915521.

It is an arithmetic number, because the mean of its divisors is an integer number (1977738).

Almost surely, 261337696 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 61337696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198568).

61337696 is an abundant number, since it is smaller than the sum of its proper divisors (81059440).

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

61337696 is an equidigital number, since it uses as much as digits as its factorization.

61337696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 137 counting only the distinct ones).

The product of its digits is 122472, while the sum is 41.

The square root of 61337696 is about 7831.8386091645. The cubic root of 61337696 is about 394.3747968869.

The spelling of 61337696 in words is "sixty-one million, three hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 67 112 122 134 224 244 268 427 469 488 536 854 938 976 1072 1708 1876 1952 2144 3416 3752 4087 4489 6832 7504 8174 8978 13664 15008 16348 17956 28609 31423 32696 35912 57218 62846 65392 71824 114436 125692 130784 143648 228872 251384 273829 457744 502768 547658 915488 1005536 1095316 1916803 2190632 3833606 4381264 7667212 8762528 15334424 30668848 61337696