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525005404 = 22731143809
BaseRepresentation
bin11111010010101…
…111001001011100
31100120220001000121
4133102233021130
52033400133104
6124032404324
716003321000
oct3722571134
91316801017
10525005404
1124a396370
121279a66a4
13849cb8b1
144da24700
1531157254
hex1f4af25c

525005404 has 96 divisors (see below), whose sum is σ = 1197504000. Its totient is φ = 199543680.

The previous prime is 525005303. The next prime is 525005431. The reversal of 525005404 is 404500525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648552 + ... + 649360.

It is an arithmetic number, because the mean of its divisors is an integer number (12474000).

Almost surely, 2525005404 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 525005404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752000).

525005404 is an abundant number, since it is smaller than the sum of its proper divisors (672498596).

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

525005404 is a wasteful number, since it uses less digits than its factorization.

525005404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 525005404 is about 22912.9963994236. The cubic root of 525005404 is about 806.7170909293.

Adding to 525005404 its reverse (404500525), we get a palindrome (929505929).

The spelling of 525005404 in words is "five hundred twenty-five million, five thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 43 44 49 77 86 98 154 172 196 301 308 343 473 539 602 686 809 946 1078 1204 1372 1618 1892 2107 2156 3236 3311 3773 4214 5663 6622 7546 8428 8899 11326 13244 14749 15092 17798 22652 23177 29498 34787 35596 39641 46354 58996 62293 69574 79282 92708 124586 139148 158564 162239 243509 249172 277487 324478 382657 436051 487018 554974 648956 765314 872102 974036 1109948 1530628 1704563 1744204 2678599 3052357 3409126 5357198 6104714 6818252 10714396 11931941 12209428 18750193 23863882 37500386 47727764 75000772 131251351 262502702 525005404