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53988980 = 225312532
BaseRepresentation
bin1100110111110…
…0111001110100
310202120220221212
43031330321310
5102310121410
65205100552
71223620163
oct315747164
9122526855
1053988980
11285257a1
12160b7758
13b253c56
1472553da
154b16b05
hex337ce74

53988980 has 54 divisors (see below), whose sum is σ = 119404278. Its totient is φ = 20504640.

The previous prime is 53988973. The next prime is 53988983. The reversal of 53988980 is 8988935.

It can be written as a sum of positive squares in 3 ways, for example, as 14776336 + 39212644 = 3844^2 + 6262^2 .

It is a super-2 number, since 2×539889802 = 5829619922880800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53988983) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1018634 + ... + 1018686.

Almost surely, 253988980 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 53988980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59702139).

53988980 is an abundant number, since it is smaller than the sum of its proper divisors (65415298).

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

53988980 is a wasteful number, since it uses less digits than its factorization.

53988980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 53988980 is about 7347.7193740643. The cubic root of 53988980 is about 377.9506014971.

The spelling of 53988980 in words is "fifty-three million, nine hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 961 1060 1643 1922 2809 3286 3844 4805 5618 6572 8215 9610 11236 14045 16430 19220 28090 32860 50933 56180 87079 101866 174158 203732 254665 348316 435395 509330 870790 1018660 1741580 2699449 5398898 10797796 13497245 26994490 53988980