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429040272 = 24373122443
BaseRepresentation
bin11001100100101…
…010001010010000
31002220022111121110
4121210222022100
51334313242042
6110323453320
713426532163
oct3144521220
91086274543
10429040272
11200200341
12bb827240
136ab6b7ab
1440da3ada
15279ed09c
hex1992a290

429040272 has 40 divisors (see below), whose sum is σ = 1123546144. Its totient is φ = 141053184.

The previous prime is 429040211. The next prime is 429040289. The reversal of 429040272 is 272040924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57718 + ... + 64725.

Almost surely, 2429040272 is an apocalyptic number.

It is an amenable number.

429040272 is an abundant number, since it is smaller than the sum of its proper divisors (694505872).

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

429040272 is a wasteful number, since it uses less digits than its factorization.

429040272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122527 (or 122521 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 429040272 is about 20713.2873296346. The cubic root of 429040272 is about 754.2222723927. Note that the first 4 decimals are identical.

The spelling of 429040272 in words is "four hundred twenty-nine million, forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 122443 244886 367329 489772 734658 979544 1469316 1959088 2938632 5877264 8938339 17876678 26815017 35753356 53630034 71506712 107260068 143013424 214520136 429040272