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427252430 = 251119204427
BaseRepresentation
bin11001011101110…
…101101011001110
31002202221200011002
4121131311223032
51333334034210
6110221300302
713405404623
oct3135655316
91082850132
10427252430
111aa19a090
12bb104692
136a693ab7
1440a5a34a
15277984a5
hex19775ace

427252430 has 32 divisors (see below), whose sum is σ = 883128960. Its totient is φ = 147186720.

The previous prime is 427252417. The next prime is 427252433. The reversal of 427252430 is 34252724.

It is a super-4 number, since 4×4272524304 (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 427252393 and 427252402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427252433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100124 + ... + 104303.

It is an arithmetic number, because the mean of its divisors is an integer number (27597780).

Almost surely, 2427252430 is an apocalyptic number.

427252430 is an abundant number, since it is smaller than the sum of its proper divisors (455876530).

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

427252430 is a wasteful number, since it uses less digits than its factorization.

427252430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204464.

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 427252430 is about 20670.0853892769. The cubic root of 427252430 is about 753.1731808159.

The spelling of 427252430 in words is "four hundred twenty-seven million, two hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 418 1045 2090 204427 408854 1022135 2044270 2248697 3884113 4497394 7768226 11243485 19420565 22486970 38841130 42725243 85450486 213626215 427252430