Search a number
-
+
2791425 = 352713409
BaseRepresentation
bin1010101001100000000001
312020211010010
422221200001
51203311200
6135455133
732504160
oct12514001
95224103
102791425
11163726a
12b274a9
13769740
145293d7
153a2150
hex2a9801

2791425 has 48 divisors (see below), whose sum is σ = 5694080. Its totient is φ = 1175040.

The previous prime is 2791409. The next prime is 2791429. The reversal of 2791425 is 5241972.

It is not a de Polignac number, because 2791425 - 24 = 2791409 is a prime.

It is an Ulam number.

2791425 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2791392 and 2791401.

It is not an unprimeable number, because it can be changed into a prime (2791429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6621 + ... + 7029.

It is a Proth number, since it is equal to 1363 ⋅ 211 + 1 and 1363 < 211.

22791425 is an apocalyptic number.

2791425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2791425 is an abundant number, since it is smaller than the sum of its proper divisors (2902655).

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

2791425 is a wasteful number, since it uses less digits than its factorization.

2791425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 2791425 is about 1670.7558169882. The cubic root of 2791425 is about 140.8019451619.

The spelling of 2791425 in words is "two million, seven hundred ninety-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 409 455 525 975 1227 1365 2045 2275 2863 5317 6135 6825 8589 10225 14315 15951 26585 30675 37219 42945 71575 79755 111657 132925 186095 214725 398775 558285 930475 2791425