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53539840 = 210510457
BaseRepresentation
bin1100110000111…
…1010000000000
310201202002212001
43030033100000
5102201233330
65151313344
71220036554
oct314172000
9121662761
1053539840
1128249302
1215b1b854
13b1276a3
147179864
154a789ca
hex330f400

53539840 has 44 divisors (see below), whose sum is σ = 128445156. Its totient is φ = 21413888.

The previous prime is 53539793. The next prime is 53539841. The reversal of 53539840 is 4893535.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 18113536 = 5952^2 + 4256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53539840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53539841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 10348.

Almost surely, 253539840 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 53539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64222578).

53539840 is an abundant number, since it is smaller than the sum of its proper divisors (74905316).

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

53539840 is a wasteful number, since it uses less digits than its factorization.

53539840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 53539840 is about 7317.0923186741. The cubic root of 53539840 is about 376.8996113928.

The spelling of 53539840 in words is "fifty-three million, five hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 10457 20914 41828 52285 83656 104570 167312 209140 334624 418280 669248 836560 1338496 1673120 2676992 3346240 5353984 6692480 10707968 13384960 26769920 53539840