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2045457 = 321729461
BaseRepresentation
bin111110011011000010001
310211220211200
413303120101
51010423312
6111501413
723246301
oct7633021
93756750
102045457
111177867
12827869
1356803b
143b3601
152a60dc
hex1f3611

2045457 has 24 divisors (see below), whose sum is σ = 3243240. Its totient is φ = 1236480.

The previous prime is 2045441. The next prime is 2045503. The reversal of 2045457 is 7545402.

2045457 is a `hidden beast` number, since 204 + 5 + 457 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 404496 + 1640961 = 636^2 + 1281^2 .

It is not a de Polignac number, because 2045457 - 24 = 2045441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2045457.

It is not an unprimeable number, because it can be changed into a prime (2045437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4207 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

22045457 is an apocalyptic number.

It is an amenable number.

2045457 is a deficient number, since it is larger than the sum of its proper divisors (1197783).

2045457 is a wasteful number, since it uses less digits than its factorization.

2045457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2045457 is about 1430.1947419845. The cubic root of 2045457 is about 126.9395003965.

Subtracting 2045457 from its reverse (7545402), we obtain a palindrome (5499945).

The spelling of 2045457 in words is "two million, forty-five thousand, four hundred fifty-seven".

Divisors: 1 3 9 17 29 51 87 153 261 461 493 1383 1479 4149 4437 7837 13369 23511 40107 70533 120321 227273 681819 2045457