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52242520 = 23511373209
BaseRepresentation
bin1100011101001…
…0100001011000
310122022012021011
43013102201120
5101333230040
65103423304
71203024361
oct307224130
9118265234
1052242520
1127542640
12155b4b34
13aa92045
146d1cb68
1548be3ea
hex31d2858

52242520 has 64 divisors (see below), whose sum is σ = 131738400. Its totient is φ = 18478080.

The previous prime is 52242481. The next prime is 52242539. The reversal of 52242520 is 2524225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 52242491 and 52242500.

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 15 ways as a sum of consecutive naturals, for example, 14676 + ... + 17884.

Almost surely, 252242520 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 52242520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65869200).

52242520 is an abundant number, since it is smaller than the sum of its proper divisors (79495880).

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

52242520 is a wasteful number, since it uses less digits than its factorization.

52242520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 52242520 is about 7227.8987264626. The cubic root of 52242520 is about 373.8304778545.

Adding to 52242520 its reverse (2524225), we get a palindrome (54766745).

It can be divided in two parts, 5224 and 2520, that added together give a square (7744 = 882).

The spelling of 52242520 in words is "fifty-two million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3209 3256 4070 6418 8140 12836 16045 16280 25672 32090 35299 64180 70598 118733 128360 141196 176495 237466 282392 352990 474932 593665 705980 949864 1187330 1306063 1411960 2374660 2612126 4749320 5224252 6530315 10448504 13060630 26121260 52242520