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525465006 = 231121037027
BaseRepresentation
bin11111010100011…
…111010110101110
31100121202101110220
4133110133112232
52034004340011
6124050312210
716010243643
oct3724372656
91317671426
10525465006
1124a67a700
12127b88666
1384b2cb51
144db03dca
15311e8506
hex1f51f5ae

525465006 has 48 divisors (see below), whose sum is σ = 1166535552. Its totient is φ = 157663440.

The previous prime is 525464993. The next prime is 525465011. The reversal of 525465006 is 600564525.

It is a happy number.

It is a super-2 number, since 2×5254650062 = 552226945061160072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71265 + ... + 78291.

It is an arithmetic number, because the mean of its divisors is an integer number (24302824).

Almost surely, 2525465006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525465006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583267776).

525465006 is an abundant number, since it is smaller than the sum of its proper divisors (641070546).

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

525465006 is a wasteful number, since it uses less digits than its factorization.

With its successor (525465007) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (7146).

525465006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 525465006 is about 22923.0234916775. The cubic root of 525465006 is about 806.9524286007.

The spelling of 525465006 in words is "five hundred twenty-five million, four hundred sixty-five thousand, six".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 1133 2266 3399 6798 7027 12463 14054 21081 24926 37389 42162 74778 77297 154594 231891 463782 723781 850267 1447562 1700534 2171343 2550801 4342686 5101602 7961591 15923182 23884773 47769546 87577501 175155002 262732503 525465006