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53321828 = 22719731373
BaseRepresentation
bin1100101101101…
…0000001100100
310201100000210112
43023122001210
5102122244303
65142512152
71215141140
oct313320144
9121300715
1053321828
112810a52a
1215a35658
13b07c3a1
147120220
154a340d8
hex32da064

53321828 has 48 divisors (see below), whose sum is σ = 113877120. Its totient is φ = 21337344.

The previous prime is 53321803. The next prime is 53321833. The reversal of 53321828 is 82812335.

It is a junction number, because it is equal to n+sod(n) for n = 53321794 and 53321803.

It is an unprimeable number.

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, 38150 + ... + 39522.

It is an arithmetic number, because the mean of its divisors is an integer number (2372440).

Almost surely, 253321828 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 53321828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56938560).

53321828 is an abundant number, since it is smaller than the sum of its proper divisors (60555292).

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

53321828 is a wasteful number, since it uses less digits than its factorization.

53321828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1474 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 53321828 is about 7302.1796745903. The cubic root of 53321828 is about 376.3873422728.

The spelling of 53321828 in words is "fifty-three million, three hundred twenty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1373 1387 2044 2746 2774 5492 5548 9611 9709 19222 19418 26087 38444 38836 52174 100229 104348 182609 200458 365218 400916 701603 730436 1403206 1904351 2806412 3808702 7617404 13330457 26660914 53321828