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53050816 = 267139109
BaseRepresentation
bin1100101001011…
…1110111000000
310200211021001001
43022113313000
5102040111231
65133021344
71212632050
oct312276700
9120737031
1053050816
1127a44955
1215924854
13acb5c20
14708d560
1549cdb61
hex3297dc0

53050816 has 56 divisors (see below), whose sum is σ = 129580640. Its totient is φ = 20984832.

The previous prime is 53050799. The next prime is 53050817. The reversal of 53050816 is 61805035.

53050816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53050817) 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, 1270 + ... + 10378.

It is an arithmetic number, because the mean of its divisors is an integer number (2313940).

Almost surely, 253050816 is an apocalyptic number.

53050816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64790320).

53050816 is an abundant number, since it is smaller than the sum of its proper divisors (76529824).

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

53050816 is a wasteful number, since it uses less digits than its factorization.

53050816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 53050816 is about 7283.5991103300. The cubic root of 53050816 is about 375.7485870226.

The spelling of 53050816 in words is "fifty-three million, fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 9109 18218 36436 63763 72872 118417 127526 145744 236834 255052 291488 473668 510104 582976 828919 947336 1020208 1657838 1894672 2040416 3315676 3789344 4080832 6631352 7578688 13262704 26525408 53050816