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522413120 = 2652297129
BaseRepresentation
bin11111001000110…
…110010001000000
31100102000100002002
4133020312101000
52032214204440
6123501043132
715642303215
oct3710662100
91312010062
10522413120
11248985789
12126b564a8
13843019b8
144d54bb0c
1530ce4115
hex1f236440

522413120 has 56 divisors (see below), whose sum is σ = 1249603800. Its totient is φ = 208023552.

The previous prime is 522413119. The next prime is 522413153. The reversal of 522413120 is 21314225.

It can be written as a sum of positive squares in 4 ways, for example, as 190881856 + 331531264 = 13816^2 + 18208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 522413092 and 522413101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69716 + ... + 76844.

Almost surely, 2522413120 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 522413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624801900).

522413120 is an abundant number, since it is smaller than the sum of its proper divisors (727190680).

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

522413120 is a wasteful number, since it uses less digits than its factorization.

522413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 522413120 is about 22856.3584151107. The cubic root of 522413120 is about 805.3871419490.

Adding to 522413120 its reverse (21314225), we get a palindrome (543727345).

The spelling of 522413120 in words is "five hundred twenty-two million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 916 1145 1832 2290 3664 4580 7129 7328 9160 14258 14656 18320 28516 35645 36640 57032 71290 73280 114064 142580 228128 285160 456256 570320 1140640 1632541 2281280 3265082 6530164 8162705 13060328 16325410 26120656 32650820 52241312 65301640 104482624 130603280 261206560 522413120