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4829004 = 223361733
BaseRepresentation
bin10010011010111101001100
3100002100011000
4102122331030
52214012004
6251300300
756021505
oct22327514
910070130
104829004
1127a9114
12174a690
131000ccb
148d9bac
15655c39
hex49af4c

4829004 has 48 divisors (see below), whose sum is σ = 12742240. Its totient is φ = 1581120.

The previous prime is 4828997. The next prime is 4829009. The reversal of 4829004 is 4009284.

4829004 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 (4829009) 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, 6222 + ... + 6954.

Almost surely, 24829004 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 4829004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371120).

4829004 is an abundant number, since it is smaller than the sum of its proper divisors (7913236).

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

4829004 is a wasteful number, since it uses less digits than its factorization.

4829004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4829004 is about 2197.4994880545. The cubic root of 4829004 is about 169.0256138015.

The spelling of 4829004 in words is "four million, eight hundred twenty-nine thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 733 1098 1466 1647 2196 2199 2932 3294 4398 6588 6597 8796 13194 19791 26388 39582 44713 79164 89426 134139 178852 268278 402417 536556 804834 1207251 1609668 2414502 4829004