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61614444 = 223291011753
BaseRepresentation
bin1110101100001…
…0100101101100
311021221100010110
43223002211230
5111233130234
610040340020
71345466643
oct353024554
9137840113
1061614444
1131863931
1218774610
13c9c3a68
14827c35a
1556211e9
hex3ac296c

61614444 has 48 divisors (see below), whose sum is σ = 150282720. Its totient is φ = 19622400.

The previous prime is 61614437. The next prime is 61614451. The reversal of 61614444 is 44441616.

61614444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61614437) and next prime (61614451).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 34272 + ... + 36024.

It is an arithmetic number, because the mean of its divisors is an integer number (3130890).

Almost surely, 261614444 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 61614444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75141360).

61614444 is an abundant number, since it is smaller than the sum of its proper divisors (88668276).

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

61614444 is a wasteful number, since it uses less digits than its factorization.

61614444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1888 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 61614444 is about 7849.4868622095. The cubic root of 61614444 is about 394.9670303091.

The spelling of 61614444 in words is "sixty-one million, six hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 1212 1753 2929 3506 5259 5858 7012 8787 10518 11716 17574 21036 35148 50837 101674 152511 177053 203348 305022 354106 531159 610044 708212 1062318 2124636 5134537 10269074 15403611 20538148 30807222 61614444