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2426000 = 24531213
BaseRepresentation
bin1001010000010010010000
311120020211212
421100102100
51110113000
6123555252
726422613
oct11202220
94506755
102426000
111407765
1298bb28
1366c305
1447217a
1532dc35
hex250490

2426000 has 40 divisors (see below), whose sum is σ = 5870904. Its totient is φ = 969600.

The previous prime is 2425991. The next prime is 2426023. The reversal of 2426000 is 6242.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 1860496 = 752^2 + 1364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1394 + ... + 2606.

22426000 is an apocalyptic number.

2426000 is a gapful number since it is divisible by the number (20) 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 2426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935452).

2426000 is an abundant number, since it is smaller than the sum of its proper divisors (3444904).

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

2426000 is a wasteful number, since it uses less digits than its factorization.

2426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2426000 is about 1557.5621977950. The cubic root of 2426000 is about 134.3683339040.

The spelling of 2426000 in words is "two million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1213 2000 2426 4852 6065 9704 12130 19408 24260 30325 48520 60650 97040 121300 151625 242600 303250 485200 606500 1213000 2426000