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1426425 = 3527111319
BaseRepresentation
bin101011100001111111001
32200110200120
411130033321
5331121200
650323453
715060450
oct5341771
92613616
101426425
11894770
12589589
133ac350
14291b97
151d29a0
hex15c3f9

1426425 has 96 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 518400.

The previous prime is 1426393. The next prime is 1426427. The reversal of 1426425 is 5246241.

1426425 is a nontrivial binomial coefficient, being equal to C(78, 4).

It is not a de Polignac number, because 1426425 - 25 = 1426393 is a prime.

1426425 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1426395 and 1426404.

It is not an unprimeable number, because it can be changed into a prime (1426427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75066 + ... + 75084.

It is an arithmetic number, because the mean of its divisors is an integer number (34720).

21426425 is an apocalyptic number.

1426425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1426425 is an abundant number, since it is smaller than the sum of its proper divisors (1906695).

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

1426425 is a wasteful number, since it uses less digits than its factorization.

1426425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 58 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 1426425 is about 1194.3303563085. The cubic root of 1426425 is about 112.5683535226.

It can be divided in two parts, 1 and 426425, that added together give a triangular number (426426 = T923).

The spelling of 1426425 in words is "one million, four hundred twenty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 7 11 13 15 19 21 25 33 35 39 55 57 65 75 77 91 95 105 133 143 165 175 195 209 231 247 273 275 285 325 385 399 429 455 475 525 627 665 715 741 825 975 1001 1045 1155 1235 1365 1425 1463 1729 1925 1995 2145 2275 2717 3003 3135 3325 3575 3705 4389 5005 5187 5225 5775 6175 6825 7315 8151 8645 9975 10725 13585 15015 15675 18525 19019 21945 25025 25935 36575 40755 43225 57057 67925 75075 95095 109725 129675 203775 285285 475475 1426425