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59142144 = 21234813
BaseRepresentation
bin1110000110011…
…1000000000000
311010021201202210
43201213000000
5110120022034
65511342120
71315462035
oct341470000
9133251683
1059142144
1130425406
1217981940
13c339669
147bd738c
1552d38e9
hex3867000

59142144 has 52 divisors (see below), whose sum is σ = 157725896. Its totient is φ = 19709952.

The previous prime is 59142119. The next prime is 59142179. The reversal of 59142144 is 44124195.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9882 + ... + 14694.

Almost surely, 259142144 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 59142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78862948).

59142144 is an abundant number, since it is smaller than the sum of its proper divisors (98583752).

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

59142144 is an equidigital number, since it uses as much as digits as its factorization.

59142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840 (or 4818 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 59142144 is about 7690.3929678528. The cubic root of 59142144 is about 389.6120270578.

The spelling of 59142144 in words is "fifty-nine million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4813 6144 9626 12288 14439 19252 28878 38504 57756 77008 115512 154016 231024 308032 462048 616064 924096 1232128 1848192 2464256 3696384 4928512 7392768 9857024 14785536 19714048 29571072 59142144