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4848004 = 227412103
BaseRepresentation
bin10010011111100110000100
3100010022012201
4102133212010
52220114004
6251524244
756131060
oct22374604
910108181
104848004
112811417
121759684
131009855
14902aa0
1565b6a4
hex49f984

4848004 has 36 divisors (see below), whose sum is σ = 10034752. Its totient is φ = 2007360.

The previous prime is 4848001. The next prime is 4848007. The reversal of 4848004 is 4008484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4848001) and next prime (4848007).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47017 + ... + 47119.

Almost surely, 24848004 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 4848004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017376).

4848004 is an abundant number, since it is smaller than the sum of its proper divisors (5186748).

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

4848004 is a wasteful number, since it uses less digits than its factorization.

4848004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4848004 is about 2201.8183394640. The cubic root of 4848004 is about 169.2470041005.

It can be divided in two parts, 484 and 8004, that multiplied together give a triangular number (3873936 = T2783).

The spelling of 4848004 in words is "four million, eight hundred forty-eight thousand, four".

Divisors: 1 2 4 7 14 28 41 82 103 164 206 287 412 574 721 1148 1442 1681 2884 3362 4223 6724 8446 11767 16892 23534 29561 47068 59122 118244 173143 346286 692572 1212001 2424002 4848004