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53856828 = 22322979653
BaseRepresentation
bin1100110101110…
…0101000111100
310202100012200100
43031130220330
5102241404303
65202201100
71222526664
oct315345074
9122305610
1053856828
1128445483
1216053190
13b208a5c
14721d1a4
154adc8a3
hex335ca3c

53856828 has 72 divisors (see below), whose sum is σ = 142833600. Its totient is φ = 17087616.

The previous prime is 53856797. The next prime is 53856841. The reversal of 53856828 is 82865835.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82150 + ... + 82802.

It is an arithmetic number, because the mean of its divisors is an integer number (1983800).

Almost surely, 253856828 is an apocalyptic number.

53856828 is a gapful number since it is divisible by the number (58) 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 53856828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71416800).

53856828 is an abundant number, since it is smaller than the sum of its proper divisors (88976772).

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

53856828 is a wasteful number, since it uses less digits than its factorization.

53856828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 53856828 is about 7338.7211419974. The cubic root of 53856828 is about 377.6419722418.

The spelling of 53856828 in words is "fifty-three million, eight hundred fifty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 79 87 116 158 174 237 261 316 348 474 522 653 711 948 1044 1306 1422 1959 2291 2612 2844 3918 4582 5877 6873 7836 9164 11754 13746 18937 20619 23508 27492 37874 41238 51587 56811 75748 82476 103174 113622 154761 170433 206348 227244 309522 340866 464283 619044 681732 928566 1496023 1857132 2992046 4488069 5984092 8976138 13464207 17952276 26928414 53856828