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53153928 = 2333733371
BaseRepresentation
bin1100101011000…
…1000010001000
310201000111111000
43022301002020
5102101411203
65135135000
71213541502
oct312610210
9121014430
1053153928
1128005373
1215974460
13b020b39
1470b8d72
1549ee4a3
hex32b1088

53153928 has 64 divisors (see below), whose sum is σ = 149716800. Its totient is φ = 17470080.

The previous prime is 53153927. The next prime is 53153939. The reversal of 53153928 is 82935135.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53153892 and 53153901.

It is not an unprimeable number, because it can be changed into a prime (53153923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14083 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (2339325).

Almost surely, 253153928 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 53153928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74858400).

53153928 is an abundant number, since it is smaller than the sum of its proper divisors (96562872).

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

53153928 is a wasteful number, since it uses less digits than its factorization.

53153928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3449 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 53153928 is about 7290.6740429126. The cubic root of 53153928 is about 375.9918702030.

The spelling of 53153928 in words is "fifty-three million, one hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3371 3942 5256 6742 7884 10113 13484 15768 20226 26968 30339 40452 60678 80904 91017 121356 182034 242712 246083 364068 492166 728136 738249 984332 1476498 1968664 2214747 2952996 4429494 5905992 6644241 8858988 13288482 17717976 26576964 53153928