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3850400 = 25524813
BaseRepresentation
bin1110101100000010100000
321020121202102
432230002200
51441203100
6214305532
744504441
oct16540240
97217672
103850400
11219a954
1213582a8
13a4a758
147232c8
15510cd5
hex3ac0a0

3850400 has 36 divisors (see below), whose sum is σ = 9401742. Its totient is φ = 1539840.

The previous prime is 3850393. The next prime is 3850403. The reversal of 3850400 is 40583.

It can be written as a sum of positive squares in 3 ways, for example, as 3254416 + 595984 = 1804^2 + 772^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3850403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1607 + ... + 3206.

Almost surely, 23850400 is an apocalyptic number.

It is an amenable number.

3850400 is an abundant number, since it is smaller than the sum of its proper divisors (5551342).

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

3850400 is a wasteful number, since it uses less digits than its factorization.

3850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3850400 is about 1962.2436138258. The cubic root of 3850400 is about 156.7359484329.

Adding to 3850400 its reverse (40583), we get a palindrome (3890983).

The spelling of 3850400 in words is "three million, eight hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4813 9626 19252 24065 38504 48130 77008 96260 120325 154016 192520 240650 385040 481300 770080 962600 1925200 3850400