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2542035400 = 235212710177
BaseRepresentation
bin1001011110000100…
…0110000111001000
320120011021210000021
42113201012013020
520201230113100
61100124350224
7116664641632
oct22741060710
96504253007
102542035400
111094a04903
125ab3a5374
13316859578
141a1873a52
15ed280a1a
hex978461c8

2542035400 has 24 divisors (see below), whose sum is σ = 5910232770. Its totient is φ = 1016814080.

The previous prime is 2542035389. The next prime is 2542035407. The reversal of 2542035400 is 45302452.

It can be written as a sum of positive squares in 3 ways, for example, as 1354681636 + 1187353764 = 36806^2 + 34458^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2542035407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6354889 + ... + 6355288.

Almost surely, 22542035400 is an apocalyptic number.

2542035400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542035400 is an abundant number, since it is smaller than the sum of its proper divisors (3368197370).

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

2542035400 is a wasteful number, since it uses less digits than its factorization.

2542035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12710193 (or 12710184 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2542035400 is about 50418.6017259503. The cubic root of 2542035400 is about 1364.7733436450.

Adding to 2542035400 its reverse (45302452), we get a palindrome (2587337852).

The spelling of 2542035400 in words is "two billion, five hundred forty-two million, thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 12710177 25420354 50840708 63550885 101681416 127101770 254203540 317754425 508407080 635508850 1271017700 2542035400