Search a number
-
+
52663520 = 2557133617
BaseRepresentation
bin1100100011100…
…1010011100000
310200002120202202
43020321103200
5101440213040
65120432332
71206426650
oct310712340
9120076682
1052663520
11277aa978
12157786a8
13abab860
146dcc360
154954015
hex32394e0

52663520 has 96 divisors (see below), whose sum is σ = 153171648. Its totient is φ = 16662528.

The previous prime is 52663493. The next prime is 52663529. The reversal of 52663520 is 2536625.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52663529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12752 + ... + 16368.

It is an arithmetic number, because the mean of its divisors is an integer number (1595538).

Almost surely, 252663520 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 52663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76585824).

52663520 is an abundant number, since it is smaller than the sum of its proper divisors (100508128).

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

52663520 is a wasteful number, since it uses less digits than its factorization.

52663520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 52663520 is about 7256.9635523406. The cubic root of 52663520 is about 374.8319721297.

It can be divided in two parts, 526 and 63520, that added together give a palindrome (64046).

The spelling of 52663520 in words is "fifty-two million, six hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3617 3640 7234 7280 14468 14560 18085 25319 28936 36170 47021 50638 57872 72340 94042 101276 115744 126595 144680 188084 202552 235105 253190 289360 329147 376168 405104 470210 506380 578720 658294 752336 810208 940420 1012760 1316588 1504672 1645735 1880840 2025520 2633176 3291470 3761680 4051040 5266352 6582940 7523360 10532704 13165880 26331760 52663520