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61611056 = 2413674421
BaseRepresentation
bin1110101100000…
…1110000110000
311021221011110222
43223001300300
5111233023211
610040312212
71345454033
oct353016060
9137834428
1061611056
1131861331
1218772668
13c9c2360
14827b01a
1556201db
hex3ac1c30

61611056 has 40 divisors (see below), whose sum is σ = 130502064. Its totient is φ = 28005120.

The previous prime is 61611049. The next prime is 61611059. The reversal of 61611056 is 65011616.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (61611059) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11726 + ... + 16146.

Almost surely, 261611056 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 61611056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65251032).

61611056 is an abundant number, since it is smaller than the sum of its proper divisors (68891008).

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

61611056 is a wasteful number, since it uses less digits than its factorization.

61611056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4509 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 61611056 is about 7849.2710489573. The cubic root of 61611056 is about 394.9597908117.

The spelling of 61611056 in words is "sixty-one million, six hundred eleven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1742 3484 4421 6968 8842 13936 17684 35368 57473 70736 114946 229892 296207 459784 592414 919568 1184828 2369656 3850691 4739312 7701382 15402764 30805528 61611056