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426240400 = 24521065601
BaseRepresentation
bin11001011001111…
…110100110010000
31002201001020220111
4121121332212100
51333104143100
6110143451104
713363661245
oct3131764620
91081036814
10426240400
111a96687a3
12ba8b6a94
136a3cb271
14408755cc
15276486ba
hex1967e990

426240400 has 30 divisors (see below), whose sum is σ = 1024043522. Its totient is φ = 170496000.

The previous prime is 426240391. The next prime is 426240401. The reversal of 426240400 is 4042624.

It can be written as a sum of positive squares in 3 ways, for example, as 61277584 + 364962816 = 7828^2 + 19104^2 .

It is not an unprimeable number, because it can be changed into a prime (426240401) 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, 532401 + ... + 533200.

Almost surely, 2426240400 is an apocalyptic number.

426240400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426240400 is an abundant number, since it is smaller than the sum of its proper divisors (597803122).

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

426240400 is a wasteful number, since it uses less digits than its factorization.

426240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065619 (or 1065608 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 426240400 is about 20645.5903282033. The cubic root of 426240400 is about 752.5780318855.

The spelling of 426240400 in words is "four hundred twenty-six million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1065601 2131202 4262404 5328005 8524808 10656010 17049616 21312020 26640025 42624040 53280050 85248080 106560100 213120200 426240400