Search a number
-
+
53609712 = 24313531621
BaseRepresentation
bin1100110010000…
…0010011110000
310201212122200220
43030200103300
5102211002322
65153013040
71220450352
oct314402360
9121778626
1053609712
1128296852
1215b54180
13b150430
1471970d2
154a8e55c
hex33204f0

53609712 has 80 divisors (see below), whose sum is σ = 152052768. Its totient is φ = 16174080.

The previous prime is 53609671. The next prime is 53609713. The reversal of 53609712 is 21790635.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53609713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32262 + ... + 33882.

Almost surely, 253609712 is an apocalyptic number.

53609712 is a gapful number since it is divisible by the number (52) 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 53609712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026384).

53609712 is an abundant number, since it is smaller than the sum of its proper divisors (98443056).

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

53609712 is a wasteful number, since it uses less digits than its factorization.

53609712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 53609712 is about 7321.8653361012. The cubic root of 53609712 is about 377.0634973385.

The spelling of 53609712 in words is "fifty-three million, six hundred nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 1621 2067 2544 2756 3242 4134 4863 5512 6484 8268 9726 11024 12968 16536 19452 21073 25936 33072 38904 42146 63219 77808 84292 85913 126438 168584 171826 252876 257739 337168 343652 505752 515478 687304 1011504 1030956 1116869 1374608 2061912 2233738 3350607 4123824 4467476 6701214 8934952 13402428 17869904 26804856 53609712