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525060224 = 2713973253
BaseRepresentation
bin11111010010111…
…100100010000000
31100120222211012222
4133102330202000
52033403411344
6124033510212
716003636553
oct3722744200
91316884188
10525060224
1124a423577
12127a12368
1384a1a830
144da3a69a
15311685ee
hex1f4bc880

525060224 has 64 divisors (see below), whose sum is σ = 1138444440. Its totient is φ = 239763456.

The previous prime is 525060223. The next prime is 525060247. The reversal of 525060224 is 422060525.

It can be written as a sum of positive squares in 4 ways, for example, as 491420224 + 33640000 = 22168^2 + 5800^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 525060193 and 525060202.

It is not an unprimeable number, because it can be changed into a prime (525060223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159782 + ... + 163034.

Almost surely, 2525060224 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 525060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569222220).

525060224 is an abundant number, since it is smaller than the sum of its proper divisors (613384216).

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

525060224 is a wasteful number, since it uses less digits than its factorization.

525060224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 525060224 is about 22914.1926325149. The cubic root of 525060224 is about 806.7451685398.

The spelling of 525060224 in words is "five hundred twenty-five million, sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 388 416 776 832 1261 1552 1664 2522 3104 3253 5044 6208 6506 10088 12416 13012 20176 26024 40352 42289 52048 80704 84578 104096 161408 169156 208192 315541 338312 416384 631082 676624 1262164 1353248 2524328 2706496 4102033 5048656 5412992 8204066 10097312 16408132 20194624 32816264 40389248 65632528 131265056 262530112 525060224