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5003964 = 223376619
BaseRepresentation
bin10011000101101010111100
3100102020011000
4103011222330
52240111324
6255130300
760350550
oct23055274
910366130
105003964
112908609
121813990
131062834
14943860
1568c9c9
hex4c5abc

5003964 has 48 divisors (see below), whose sum is σ = 14828800. Its totient is φ = 1429488.

The previous prime is 5003963. The next prime is 5003969. The reversal of 5003964 is 4693005.

It is a happy number.

5003964 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2554 + ... + 4065.

Almost surely, 25003964 is an apocalyptic number.

5003964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5003964 is an abundant number, since it is smaller than the sum of its proper divisors (9824836).

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

5003964 is a wasteful number, since it uses less digits than its factorization.

5003964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5003964 is about 2236.9541792357. The cubic root of 5003964 is about 171.0427716953.

Adding to 5003964 its reverse (4693005), we get a palindrome (9696969).

The spelling of 5003964 in words is "five million, three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 6619 13238 19857 26476 39714 46333 59571 79428 92666 119142 138999 178713 185332 238284 277998 357426 416997 555996 714852 833994 1250991 1667988 2501982 5003964