Search a number
-
+
52490048 = 2613223211
BaseRepresentation
bin1100100000111…
…0111101000000
310122202202210212
43020032331000
5101414140143
65113013252
71205105132
oct310167500
9118682725
1052490048
11276a1606
12156b4228
13ab4a900
146d85052
15491c918
hex320ef40

52490048 has 84 divisors (see below), whose sum is σ = 118250208. Its totient is φ = 23063040.

The previous prime is 52489909. The next prime is 52490051. The reversal of 52490048 is 84009425.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 52489996 and 52490023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248663 + ... + 248873.

Almost surely, 252490048 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 52490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59125104).

52490048 is an abundant number, since it is smaller than the sum of its proper divisors (65760160).

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

52490048 is a wasteful number, since it uses less digits than its factorization.

52490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 52490048 is about 7245.0015873014. The cubic root of 52490048 is about 374.4199577838.

The spelling of 52490048 in words is "fifty-two million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 169 184 208 211 299 338 368 416 422 598 676 736 832 844 1196 1352 1472 1688 2392 2704 2743 3376 3887 4784 4853 5408 5486 6752 7774 9568 9706 10816 10972 13504 15548 19136 19412 21944 31096 35659 38824 43888 62192 63089 71318 77648 87776 124384 126178 142636 155296 175552 248768 252356 285272 310592 504712 570544 820157 1009424 1141088 1640314 2018848 2282176 3280628 4037696 6561256 13122512 26245024 52490048