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2142451424 = 25592274999
BaseRepresentation
bin111111110110011…
…0011011011100000
312112022101210211202
41333230303123200
513341431421144
6552332100332
7104043352031
oct17754633340
95468353752
102142451424
119aa3a3513
124b96046a8
13281b32449
1416477aa88
15c815064e
hex7fb336e0

2142451424 has 48 divisors (see below), whose sum is σ = 4309200000. Its totient is φ = 1048220544.

The previous prime is 2142451417. The next prime is 2142451427. The reversal of 2142451424 is 4241542412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142451427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 426077 + ... + 431075.

It is an arithmetic number, because the mean of its divisors is an integer number (89775000).

Almost surely, 22142451424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142451424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154600000).

2142451424 is an abundant number, since it is smaller than the sum of its proper divisors (2166748576).

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

2142451424 is a wasteful number, since it uses less digits than its factorization.

2142451424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5287 counting only the distinct ones).

The product of its digits is 10240, while the sum is 29.

The square root of 2142451424 is about 46286.6225166624. The cubic root of 2142451424 is about 1289.1506184735.

Adding to 2142451424 its reverse (4241542412), we get a palindrome (6383993836).

The spelling of 2142451424 in words is "two billion, one hundred forty-two million, four hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 118 227 236 454 472 908 944 1816 1888 3632 4999 7264 9998 13393 19996 26786 39992 53572 79984 107144 159968 214288 294941 428576 589882 1134773 1179764 2269546 2359528 4539092 4719056 9078184 9438112 18156368 36312736 66951607 133903214 267806428 535612856 1071225712 2142451424