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425338400 = 2552531673
BaseRepresentation
bin11001010110100…
…010011000100000
31002122100102121002
4121112202120200
51332341312100
6110112251132
713353213434
oct3126423040
91078312532
10425338400
111a9102043
12ba540aa8
136a173836
14406bc9c4
152751b2d5
hex195a2620

425338400 has 36 divisors (see below), whose sum is σ = 1038359322. Its totient is φ = 170135040.

The previous prime is 425338399. The next prime is 425338429. The reversal of 425338400 is 4833524.

It can be written as a sum of positive squares in 3 ways, for example, as 312723856 + 112614544 = 17684^2 + 10612^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 265037 + ... + 266636.

Almost surely, 2425338400 is an apocalyptic number.

425338400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425338400 is an abundant number, since it is smaller than the sum of its proper divisors (613020922).

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

425338400 is a wasteful number, since it uses less digits than its factorization.

425338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531693 (or 531680 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 425338400 is about 20623.7339005331. The cubic root of 425338400 is about 752.0467942814.

The spelling of 425338400 in words is "four hundred twenty-five million, three hundred thirty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 531673 1063346 2126692 2658365 4253384 5316730 8506768 10633460 13291825 17013536 21266920 26583650 42533840 53167300 85067680 106334600 212669200 425338400