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53104410 = 2345531237
BaseRepresentation
bin1100101010010…
…0111100011010
310200220222120000
43022210330122
5102043320120
65134113430
71213244232
oct312447432
9120828500
1053104410
1127a81147
121594b876
13b004438
1470a4cc2
1549de990
hex32a4f1a

53104410 has 80 divisors (see below), whose sum is σ = 145603656. Its totient is φ = 13882752.

The previous prime is 53104391. The next prime is 53104417. The reversal of 53104410 is 1440135.

It is a happy number.

53104410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 50680161 + 2424249 = 7119^2 + 1557^2 .

It is a super-2 number, since 2×531044102 = 5640156722896200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53104417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42312 + ... + 43548.

Almost surely, 253104410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53104410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72801828).

53104410 is an abundant number, since it is smaller than the sum of its proper divisors (92499246).

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

53104410 is a wasteful number, since it uses less digits than its factorization.

53104410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53104410 is about 7287.2772693236. The cubic root of 53104410 is about 375.8750763885.

Adding to 53104410 its reverse (1440135), we get a palindrome (54544545).

The spelling of 53104410 in words is "fifty-three million, one hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1237 1431 1590 2385 2474 2862 3711 4293 4770 6185 7155 7422 8586 11133 12370 14310 18555 21465 22266 33399 37110 42930 55665 65561 66798 100197 111330 131122 166995 196683 200394 327805 333990 393366 500985 590049 655610 983415 1001970 1180098 1770147 1966830 2950245 3540294 5310441 5900490 8850735 10620882 17701470 26552205 53104410