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53903928 = 23313197877
BaseRepresentation
bin1100110110100…
…0001000111000
310202102121021210
43031220020320
5102244411203
65203203120
71223114211
oct315501070
9122377253
1053903928
1128477901
12160764a0
13b224320
147232408
154aeb803
hex3368238

53903928 has 64 divisors (see below), whose sum is σ = 146028960. Its totient is φ = 16482816.

The previous prime is 53903911. The next prime is 53903929. The reversal of 53903928 is 82930935.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53903929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61026 + ... + 61902.

Almost surely, 253903928 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 53903928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73014480).

53903928 is an abundant number, since it is smaller than the sum of its proper divisors (92125032).

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

53903928 is a wasteful number, since it uses less digits than its factorization.

53903928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 53903928 is about 7341.9294466782. The cubic root of 53903928 is about 377.7520279514.

The spelling of 53903928 in words is "fifty-three million, nine hundred three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 197 312 394 591 788 877 1182 1576 1754 2364 2561 2631 3508 4728 5122 5262 7016 7683 10244 10524 11401 15366 20488 21048 22802 30732 34203 45604 61464 68406 91208 136812 172769 273624 345538 518307 691076 1036614 1382152 2073228 2245997 4146456 4491994 6737991 8983988 13475982 17967976 26951964 53903928