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429087248 = 2429924757
BaseRepresentation
bin11001100100110…
…101101000010000
31002220101220001022
4121210311220100
51334321242443
6110324455012
713430116142
oct3144655020
91086356038
10429087248
11200232667
12bb84a468
136ab86ca5
1440db6c92
1527a0be68
hex19935a10

429087248 has 20 divisors (see below), whose sum is σ = 860024940. Its totient is φ = 207145344.

The previous prime is 429087247. The next prime is 429087257. The reversal of 429087248 is 842780924.

It can be written as a sum of positive squares in 2 ways, for example, as 328044544 + 101042704 = 18112^2 + 10052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 429087199 and 429087208.

It is not an unprimeable number, because it can be changed into a prime (429087247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 461915 + ... + 462842.

It is an arithmetic number, because the mean of its divisors is an integer number (43001247).

Almost surely, 2429087248 is an apocalyptic number.

It is an amenable number.

429087248 is an abundant number, since it is smaller than the sum of its proper divisors (430937692).

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

429087248 is a wasteful number, since it uses less digits than its factorization.

429087248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924794 (or 924788 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 429087248 is about 20714.4212566994. The cubic root of 429087248 is about 754.2497982100.

The spelling of 429087248 in words is "four hundred twenty-nine million, eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 924757 1849514 3699028 7398056 14796112 26817953 53635906 107271812 214543624 429087248