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432242125 = 5376773101
BaseRepresentation
bin11001110000110…
…111110111001101
31010010100011201121
4121300313313031
51341123222000
6110520240541
713465666060
oct3160676715
91103304647
10432242125
11201a979a7
12100910151
136b71cc93
14415988d7
1527e31b1a
hex19c37dcd

432242125 has 64 divisors (see below), whose sum is σ = 640553472. Its totient is φ = 285120000.

The previous prime is 432242113. The next prime is 432242137. The reversal of 432242125 is 521242234.

It is an interprime number because it is at equal distance from previous prime (432242113) and next prime (432242137).

It is not a de Polignac number, because 432242125 - 29 = 432241613 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432242125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4279575 + ... + 4279675.

It is an arithmetic number, because the mean of its divisors is an integer number (10008648).

Almost surely, 2432242125 is an apocalyptic number.

It is an amenable number.

432242125 is a deficient number, since it is larger than the sum of its proper divisors (208311347).

432242125 is a wasteful number, since it uses less digits than its factorization.

432242125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its digits is 3840, while the sum is 25.

The square root of 432242125 is about 20790.4334971640. The cubic root of 432242125 is about 756.0938342932.

Adding to 432242125 its reverse (521242234), we get a palindrome (953484359).

The spelling of 432242125 in words is "four hundred thirty-two million, two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 67 73 101 125 175 335 365 469 505 511 707 875 1675 1825 2345 2525 2555 3535 4891 6767 7373 8375 9125 11725 12625 12775 17675 24455 33835 34237 36865 47369 51611 58625 63875 88375 122275 169175 171185 184325 236845 258055 493991 611375 845875 855925 921625 1184225 1290275 2469955 3457937 4279625 5921125 6451375 12349775 17289685 61748875 86448425 432242125