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383836007025 = 325210324012
BaseRepresentation
bin1011001010111100110…
…10001010101001110001
31100200202012011110010100
411211132122022221301
522242044004211100
6452155401423013
736505546141032
oct5453632125161
91320665143110
10383836007025
11138869468219
1262481a9aa69
132a2708c7063
1414813542a89
159eb780c400
hex595e68aa71

383836007025 has 81 divisors (see below), whose sum is σ = 695967998817. Its totient is φ = 202219488000.

The previous prime is 383836007017. The next prime is 383836007029. The reversal of 383836007025 is 520700638383.

The square root of 383836007025 is 619545.

It is a perfect power (a square), and thus also a powerful number.

383836007025 is a `hidden beast` number, since 3 + 8 + 38 + 3 + 600 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102677307489 + 281158699536 = 320433^2 + 530244^2 .

It is not a de Polignac number, because 383836007025 - 23 = 383836007017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (383836007029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 957196825 + ... + 957197225.

Almost surely, 2383836007025 is an apocalyptic number.

383836007025 is the 619545-th square number.

383836007025 is the 309773-rd centered octagonal number.

It is an amenable number.

383836007025 is a deficient number, since it is larger than the sum of its proper divisors (312131991792).

383836007025 is an equidigital number, since it uses as much as digits as its factorization.

383836007025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 383836007025 in words is "three hundred eighty-three billion, eight hundred thirty-six million, seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 103 225 309 401 515 927 1203 1545 2005 2575 3609 4635 6015 7725 10025 10609 18045 23175 30075 31827 41303 53045 90225 95481 123909 159135 160801 206515 265225 371727 477405 482403 619545 795675 804005 1032575 1447209 1858635 2387025 2412015 3097725 4020025 4254209 7236045 9293175 12060075 12762627 16562503 21271045 36180225 38287881 49687509 63813135 82812515 106355225 149062527 191439405 248437545 319065675 414062575 745312635 957197025 1242187725 1705937809 3726563175 5117813427 8529689045 15353440281 25589067135 42648445225 76767201405 127945335675 383836007025