Search a number
-
+
5036004 = 2232592371
BaseRepresentation
bin10011001101011111100100
3100110212002200
4103031133210
52242123004
6255534500
760543141
oct23153744
910425080
105036004
11292a696
12182a430
1310742ac
149513c8
15697239
hex4cd7e4

5036004 has 36 divisors (see below), whose sum is σ = 12951120. Its totient is φ = 1649520.

The previous prime is 5035999. The next prime is 5036039. The reversal of 5036004 is 4006305.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×50360042 = 50722672576032, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939 + ... + 3309.

Almost surely, 25036004 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 5036004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475560).

5036004 is an abundant number, since it is smaller than the sum of its proper divisors (7915116).

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

5036004 is a wasteful number, since it uses less digits than its factorization.

5036004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5036004 is about 2244.1042756521. The cubic root of 5036004 is about 171.4070532515.

The spelling of 5036004 in words is "five million, thirty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 2371 4742 7113 9484 14226 21339 28452 42678 85356 139889 279778 419667 559556 839334 1259001 1678668 2518002 5036004