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426071400 = 23352710119
BaseRepresentation
bin11001011001010…
…101010101101000
31002200201200002020
4121121111111220
51333033241100
6110140104440
713362355446
oct3131252550
91080650066
10426071400
111a9562827
12ba835120
136a36c371
144082db96
15276135a0
hex19655568

426071400 has 48 divisors (see below), whose sum is σ = 1320823200. Its totient is φ = 113618880.

The previous prime is 426071383. The next prime is 426071407. The reversal of 426071400 is 4170624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (426071407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354460 + ... + 355659.

It is an arithmetic number, because the mean of its divisors is an integer number (27517150).

Almost surely, 2426071400 is an apocalyptic number.

426071400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426071400 is an abundant number, since it is smaller than the sum of its proper divisors (894751800).

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

426071400 is a wasteful number, since it uses less digits than its factorization.

426071400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710138 (or 710129 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 426071400 is about 20641.4970387324. The cubic root of 426071400 is about 752.4785555491.

The spelling of 426071400 in words is "four hundred twenty-six million, seventy-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 710119 1420238 2130357 2840476 3550595 4260714 5680952 7101190 8521428 10651785 14202380 17042856 17752975 21303570 28404760 35505950 42607140 53258925 71011900 85214280 106517850 142023800 213035700 426071400