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4904004 = 223779739
BaseRepresentation
bin10010101101010001000100
3100020011000210
4102231101010
52223412004
6253035420
756453250
oct22552104
910204023
104904004
11284a4a6
121785b70
1310291a1
14919260
1566d089
hex4ad444

4904004 has 48 divisors (see below), whose sum is σ = 13260800. Its totient is φ = 1381536.

The previous prime is 4903999. The next prime is 4904023. The reversal of 4904004 is 4004094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6267 + ... + 7005.

Almost surely, 24904004 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 4904004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630400).

4904004 is an abundant number, since it is smaller than the sum of its proper divisors (8356796).

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

4904004 is a wasteful number, since it uses less digits than its factorization.

4904004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4904004 is about 2214.4985888458. The cubic root of 4904004 is about 169.8961765129.

Adding to 4904004 its reverse (4004094), we get a palindrome (8908098).

The spelling of 4904004 in words is "four million, nine hundred four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 739 948 1106 1478 1659 2212 2217 2956 3318 4434 5173 6636 8868 10346 15519 20692 31038 58381 62076 116762 175143 233524 350286 408667 700572 817334 1226001 1634668 2452002 4904004