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4048400 = 245229349
BaseRepresentation
bin1111011100011000010000
321121200100202
433130120100
52014022100
6222434332
746260626
oct17343020
97550322
104048400
112315694
1214329a8
13ab9905
14775516
1554e7d5
hex3dc610

4048400 has 60 divisors (see below), whose sum is σ = 10090500. Its totient is φ = 1559040.

The previous prime is 4048393. The next prime is 4048417. The reversal of 4048400 is 48404.

It can be written as a sum of positive squares in 6 ways, for example, as 256 + 4048144 = 16^2 + 2012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11426 + ... + 11774.

It is an arithmetic number, because the mean of its divisors is an integer number (168175).

Almost surely, 24048400 is an apocalyptic number.

4048400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045250).

4048400 is an abundant number, since it is smaller than the sum of its proper divisors (6042100).

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

4048400 is a wasteful number, since it uses less digits than its factorization.

4048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4048400 is about 2012.0636172845. The cubic root of 4048400 is about 159.3777918260.

The spelling of 4048400 in words is "four million, forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 349 400 464 580 698 725 1160 1396 1450 1745 2320 2792 2900 3490 5584 5800 6980 8725 10121 11600 13960 17450 20242 27920 34900 40484 50605 69800 80968 101210 139600 161936 202420 253025 404840 506050 809680 1012100 2024200 4048400