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2557401 = 371111071
BaseRepresentation
bin1001110000010111011001
311210221002120
421300113121
51123314101
6130451453
730510660
oct11602731
94727076
102557401
111497460
12a33b89
136b7072
144a7dd7
15357b36
hex2705d9

2557401 has 16 divisors (see below), whose sum is σ = 4251648. Its totient is φ = 1328400.

The previous prime is 2557397. The next prime is 2557417. The reversal of 2557401 is 1047552.

2557401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2557401 - 22 = 2557397 is a prime.

It is a Curzon number.

2557401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2557441) 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 15 ways as a sum of consecutive naturals, for example, 5305 + ... + 5766.

It is an arithmetic number, because the mean of its divisors is an integer number (265728).

22557401 is an apocalyptic number.

2557401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2557401 is a deficient number, since it is larger than the sum of its proper divisors (1694247).

2557401 is a wasteful number, since it uses less digits than its factorization.

2557401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092.

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 2557401 is about 1599.1876062551. The cubic root of 2557401 is about 136.7517660226.

The spelling of 2557401 in words is "two million, five hundred fifty-seven thousand, four hundred one".

Divisors: 1 3 7 11 21 33 77 231 11071 33213 77497 121781 232491 365343 852467 2557401