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429048096 = 25319012351
BaseRepresentation
bin11001100100101…
…100000100100000
31002220022220100020
4121210230010200
51334314014341
6110323553440
713426564041
oct3144540440
91086286306
10429048096
11200206204
12bb82b880
136ab72219
1440da68c8
1527a00566
hex1992c120

429048096 has 48 divisors (see below), whose sum is σ = 1127323008. Its totient is φ = 142880000.

The previous prime is 429048047. The next prime is 429048097. The reversal of 429048096 is 690840924.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (429048097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181321 + ... + 183671.

It is an arithmetic number, because the mean of its divisors is an integer number (23485896).

Almost surely, 2429048096 is an apocalyptic number.

It is an amenable number.

429048096 is an abundant number, since it is smaller than the sum of its proper divisors (698274912).

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

429048096 is a wasteful number, since it uses less digits than its factorization.

429048096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 429048096 is about 20713.4761930488. The cubic root of 429048096 is about 754.2268570433.

The spelling of 429048096 in words is "four hundred twenty-nine million, forty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1901 2351 3802 4702 5703 7053 7604 9404 11406 14106 15208 18808 22812 28212 30416 37616 45624 56424 60832 75232 91248 112848 182496 225696 4469251 8938502 13407753 17877004 26815506 35754008 53631012 71508016 107262024 143016032 214524048 429048096