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5002505406 = 23513775133
BaseRepresentation
bin1001010100010110…
…00010110010111110
3110220122002121100000
410222023002302332
540221120133111
62144221015130
7234652410603
oct45213026276
913818077300
105002505406
112137869398
12b773b44a6
13619528092
143565546aa
151e429dc56
hex12a2c2cbe

5002505406 has 48 divisors (see below), whose sum is σ = 11322393264. Its totient is φ = 1655308224.

The previous prime is 5002505327. The next prime is 5002505411. The reversal of 5002505406 is 6045052005.

5002505406 is a `hidden beast` number, since 5 + 0 + 0 + 250 + 5 + 406 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5002505406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29016 + ... + 104148.

It is an arithmetic number, because the mean of its divisors is an integer number (235883193).

Almost surely, 25002505406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5002505406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661196632).

5002505406 is an abundant number, since it is smaller than the sum of its proper divisors (6319887858).

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

5002505406 is a wasteful number, since it uses less digits than its factorization.

5002505406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75287 (or 75275 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5002505406 is about 70728.3917956573. The cubic root of 5002505406 is about 1710.2615112514.

The spelling of 5002505406 in words is "five billion, two million, five hundred five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 411 486 822 1233 2466 3699 7398 11097 22194 33291 66582 75133 150266 225399 450798 676197 1352394 2028591 4057182 6085773 10293221 12171546 18257319 20586442 30879663 36514638 61759326 92638989 185277978 277916967 555833934 833750901 1667501802 2501252703 5002505406