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5205000402 = 2327219330577
BaseRepresentation
bin1001101100011111…
…00000000011010010
3111102202010102020200
410312033200003102
541124440003102
62220253120030
7242661526200
oct46617400322
914382112220
105205000402
1122310a5928
121013189016
1364c476bc4
143753c6070
15206e4c51c
hex1363e00d2

5205000402 has 72 divisors (see below), whose sum is σ = 13187129436. Its totient is φ = 1479389184.

The previous prime is 5205000329. The next prime is 5205000421. The reversal of 5205000402 is 2040005025.

It can be written as a sum of positive squares in 2 ways, for example, as 4975750521 + 229249881 = 70539^2 + 15141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154938 + ... + 185514.

Almost surely, 25205000402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205000402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593564718).

5205000402 is an abundant number, since it is smaller than the sum of its proper divisors (7982129034).

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

5205000402 is a wasteful number, since it uses less digits than its factorization.

5205000402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30792 (or 30782 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5205000402 is about 72145.6887277403. The cubic root of 5205000402 is about 1733.0333588958.

Adding to 5205000402 its reverse (2040005025), we get a palindrome (7245005427).

The spelling of 5205000402 in words is "five billion, two hundred five million, four hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 193 294 386 441 579 882 1158 1351 1737 2702 3474 4053 8106 9457 12159 18914 24318 28371 30577 56742 61154 85113 91731 170226 183462 214039 275193 428078 550386 642117 1284234 1498273 1926351 2996546 3852702 4494819 5901361 8989638 11802722 13484457 17704083 26968914 35408166 41309527 53112249 82619054 106224498 123928581 247857162 289166689 371785743 578333378 743571486 867500067 1735000134 2602500201 5205000402