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52842416 = 24111132657
BaseRepresentation
bin1100100110010…
…0111110110000
310200102200011112
43021210332300
5102011424131
65124332452
71211103344
oct311447660
9120380145
1052842416
1127912320
1215844128
13ac42103
147037624
15498c02b
hex3264fb0

52842416 has 40 divisors (see below), whose sum is σ = 112720464. Its totient is φ = 23797760.

The previous prime is 52842397. The next prime is 52842457. The reversal of 52842416 is 61424825.

52842416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 18560 + ... + 21216.

Almost surely, 252842416 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 52842416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56360232).

52842416 is an abundant number, since it is smaller than the sum of its proper divisors (59878048).

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

52842416 is a wasteful number, since it uses less digits than its factorization.

52842416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789 (or 2783 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 52842416 is about 7269.2789188475. The cubic root of 52842416 is about 375.2559224886.

The spelling of 52842416 in words is "fifty-two million, eight hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 2657 4972 5314 9944 10628 19888 21256 29227 42512 58454 116908 233816 300241 467632 600482 1200964 2401928 3302651 4803856 6605302 13210604 26421208 52842416