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2142403424 = 2579564301
BaseRepresentation
bin111111110110010…
…0111101101100000
312112022022100222222
41333230213231200
513341423402144
6552331050212
7104043062060
oct17754475540
95468270888
102142403424
119aa370447
124b95a0968
13281b16645
141647673a0
15c81412ee
hex7fb27b60

2142403424 has 24 divisors (see below), whose sum is σ = 4820408208. Its totient is φ = 918172800.

The previous prime is 2142403369. The next prime is 2142403451. The reversal of 2142403424 is 4243042412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2142403393 and 2142403402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4781927 + ... + 4782374.

It is an arithmetic number, because the mean of its divisors is an integer number (200850342).

Almost surely, 22142403424 is an apocalyptic number.

It is an amenable number.

2142403424 is an abundant number, since it is smaller than the sum of its proper divisors (2678004784).

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

2142403424 is an equidigital number, since it uses as much as digits as its factorization.

2142403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9564318 (or 9564310 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2142403424 is about 46286.1040054140. The cubic root of 2142403424 is about 1289.1409909208.

Adding to 2142403424 its reverse (4243042412), we get a palindrome (6385445836).

The spelling of 2142403424 in words is "two billion, one hundred forty-two million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 9564301 19128602 38257204 66950107 76514408 133900214 153028816 267800428 306057632 535600856 1071201712 2142403424