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251443040 = 2554013919
BaseRepresentation
bin11101111110010…
…11011101100000
3122112010122000012
432333023131200
51003332134130
640541144052
76142142042
oct1677133540
9575118005
10251443040
11119a29972
127025b028
1340129484
1425573a92
151711b995
hexefcb760

251443040 has 48 divisors (see below), whose sum is σ = 595667520. Its totient is φ = 100300800.

The previous prime is 251443019. The next prime is 251443043. The reversal of 251443040 is 40344152.

251443040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 251442997 and 251443015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251443043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62201 + ... + 66119.

It is an arithmetic number, because the mean of its divisors is an integer number (12409740).

Almost surely, 2251443040 is an apocalyptic number.

251443040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251443040 is an abundant number, since it is smaller than the sum of its proper divisors (344224480).

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

251443040 is a wasteful number, since it uses less digits than its factorization.

251443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 251443040 is about 15856.9555716096. The cubic root of 251443040 is about 631.1702779431.

Adding to 251443040 its reverse (40344152), we get a palindrome (291787192).

It can be divided in two parts, 2514 and 43040, that added together give a palindrome (45554).

The spelling of 251443040 in words is "two hundred fifty-one million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 401 802 1604 2005 3208 3919 4010 6416 7838 8020 12832 15676 16040 19595 31352 32080 39190 62704 64160 78380 125408 156760 313520 627040 1571519 3143038 6286076 7857595 12572152 15715190 25144304 31430380 50288608 62860760 125721520 251443040