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53128816 = 2413733499
BaseRepresentation
bin1100101010101…
…0111001110000
310200222020000221
43022222321300
5102100110231
65134422424
71213405336
oct312527160
9120866027
1053128816
1127a98514
1215961a14
13b012590
1470adb56
1549e6d11
hex32aae70

53128816 has 40 divisors (see below), whose sum is σ = 112406000. Its totient is φ = 24178176.

The previous prime is 53128793. The next prime is 53128849. The reversal of 53128816 is 61882135.

53128816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 13435 + ... + 16933.

It is an arithmetic number, because the mean of its divisors is an integer number (2810150).

Almost surely, 253128816 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 53128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56203000).

53128816 is an abundant number, since it is smaller than the sum of its proper divisors (59277184).

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

53128816 is a wasteful number, since it uses less digits than its factorization.

53128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3587 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 53128816 is about 7288.9516392963. The cubic root of 53128816 is about 375.9326497747.

The spelling of 53128816 in words is "fifty-three million, one hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3499 3796 6998 7592 13996 15184 27992 45487 55984 90974 181948 255427 363896 510854 727792 1021708 2043416 3320551 4086832 6641102 13282204 26564408 53128816