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2542064625 = 325319118927
BaseRepresentation
bin1001011110000100…
…1101001111110001
320120011100021002200
42113201031033301
520201232032000
61100125133413
7116665123062
oct22741151761
96504307080
102542064625
111094a24861
125ab3ba269
13316869969
141a1880569
15ed289500
hex9784d3f1

2542064625 has 48 divisors (see below), whose sum is σ = 4823719680. Its totient is φ = 1284400800.

The previous prime is 2542064593. The next prime is 2542064647. The reversal of 2542064625 is 5264602452.

2542064625 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 0 + 646 + 2 + 5 = 666.

It is not a de Polignac number, because 2542064625 - 25 = 2542064593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2542064625.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 38089 + ... + 80838.

It is an arithmetic number, because the mean of its divisors is an integer number (100494160).

Almost surely, 22542064625 is an apocalyptic number.

2542064625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2542064625 is a deficient number, since it is larger than the sum of its proper divisors (2281655055).

2542064625 is a wasteful number, since it uses less digits than its factorization.

2542064625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118967 (or 118954 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2542064625 is about 50418.8915487042. The cubic root of 2542064625 is about 1364.7785737516.

The spelling of 2542064625 in words is "two billion, five hundred forty-two million, sixty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 375 475 855 1125 1425 2375 4275 7125 21375 118927 356781 594635 1070343 1783905 2259613 2973175 5351715 6778839 8919525 11298065 14865875 20336517 26758575 33894195 44597625 56490325 101682585 133792875 169470975 282451625 508412925 847354875 2542064625