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53821332 = 223229311663
BaseRepresentation
bin1100110101001…
…1111110010100
310202021101222200
43031103332110
5102234240312
65201324500
71222321335
oct315237624
9122241880
1053821332
1128420844
1216036730
13b1c5856
14721028c
154ad20dc
hex3353f94

53821332 has 72 divisors (see below), whose sum is σ = 145367040. Its totient is φ = 16752960.

The previous prime is 53821309. The next prime is 53821343. The reversal of 53821332 is 23312835.

It is a junction number, because it is equal to n+sod(n) for n = 53821296 and 53821305.

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, 31533 + ... + 33195.

Almost surely, 253821332 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 53821332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72683520).

53821332 is an abundant number, since it is smaller than the sum of its proper divisors (91545708).

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

53821332 is a wasteful number, since it uses less digits than its factorization.

53821332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1728 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 53821332 is about 7336.3023383718. The cubic root of 53821332 is about 377.5589884867.

The spelling of 53821332 in words is "fifty-three million, eight hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1663 1798 2697 3326 3596 4989 5394 6652 8091 9978 10788 14967 16182 19956 29934 32364 48227 51553 59868 96454 103106 144681 154659 192908 206212 289362 309318 434043 463977 578724 618636 868086 927954 1495037 1736172 1855908 2990074 4485111 5980148 8970222 13455333 17940444 26910666 53821332