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53021124 = 223213277409
BaseRepresentation
bin1100101001000…
…0100111000100
310200202202022100
43022100213010
5102033133444
65132232100
71212446352
oct312204704
9120682270
1053021124
1127a24612
121590b630
13aca5560
1470827d2
1549c4e69
hex32909c4

53021124 has 72 divisors (see below), whose sum is σ = 145210520. Its totient is φ = 16215552.

The previous prime is 53021119. The next prime is 53021173. The reversal of 53021124 is 42112035.

It can be written as a sum of positive squares in 4 ways, for example, as 3572100 + 49449024 = 1890^2 + 7032^2 .

It is a super-2 number, since 2×530211242 = 5622479180446752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 53021097 and 53021106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129432 + ... + 129840.

Almost surely, 253021124 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 53021124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72605260).

53021124 is an abundant number, since it is smaller than the sum of its proper divisors (92189396).

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

53021124 is a wasteful number, since it uses less digits than its factorization.

53021124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 704 counting only the distinct ones).

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

The square root of 53021124 is about 7281.5605470256. The cubic root of 53021124 is about 375.6784730578.

Adding to 53021124 its reverse (42112035), we get a palindrome (95133159).

The spelling of 53021124 in words is "fifty-three million, twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 277 409 468 554 818 831 1108 1227 1636 1662 2454 2493 3324 3601 3681 4908 4986 5317 7202 7362 9972 10634 10803 14404 14724 15951 21268 21606 31902 32409 43212 47853 63804 64818 95706 113293 129636 191412 226586 339879 453172 679758 1019637 1359516 1472809 2039274 2945618 4078548 4418427 5891236 8836854 13255281 17673708 26510562 53021124