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5212008 = 2332191379
BaseRepresentation
bin10011111000011101101000
3100210210112100
4103320131220
52313241013
6303413400
762205234
oct23703550
910723470
105212008
112a3a94a
1218b4260
131106439
149995c4
156ce473
hex4f8768

5212008 has 48 divisors (see below), whose sum is σ = 14227200. Its totient is φ = 1723680.

The previous prime is 5212003. The next prime is 5212019. The reversal of 5212008 is 8002125.

5212008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (5212003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13563 + ... + 13941.

It is an arithmetic number, because the mean of its divisors is an integer number (296400).

Almost surely, 25212008 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 5212008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113600).

5212008 is an abundant number, since it is smaller than the sum of its proper divisors (9015192).

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

5212008 is a wasteful number, since it uses less digits than its factorization.

5212008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5212008 is about 2282.9822601150. The cubic root of 5212008 is about 173.3810749491.

The spelling of 5212008 in words is "five million, two hundred twelve thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 379 382 573 758 764 1137 1146 1516 1528 1719 2274 2292 3032 3411 3438 4548 4584 6822 6876 9096 13644 13752 27288 72389 144778 217167 289556 434334 579112 651501 868668 1303002 1737336 2606004 5212008