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59144072 = 2313691823
BaseRepresentation
bin1110000110011…
…1011110001000
311010021211102012
43201213132020
5110120102242
65511355052
71315500461
oct341473610
9133254365
1059144072
11304268a9
1217982a88
13c33a4c0
147bd7d68
1552d4282
hex3867788

59144072 has 32 divisors (see below), whose sum is σ = 119743680. Its totient is φ = 27224640.

The previous prime is 59144069. The next prime is 59144077. The reversal of 59144072 is 27044195.

It is a happy number.

59144072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (59144077) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 71453 + ... + 72275.

It is an arithmetic number, because the mean of its divisors is an integer number (3741990).

Almost surely, 259144072 is an apocalyptic number.

59144072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

59144072 is an abundant number, since it is smaller than the sum of its proper divisors (60599608).

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

59144072 is a wasteful number, since it uses less digits than its factorization.

59144072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 59144072 is about 7690.5183180329. The cubic root of 59144072 is about 389.6162607214.

The spelling of 59144072 in words is "fifty-nine million, one hundred forty-four thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 691 823 1382 1646 2764 3292 5528 6584 8983 10699 17966 21398 35932 42796 71864 85592 568693 1137386 2274772 4549544 7393009 14786018 29572036 59144072