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429287064 = 233192294111
BaseRepresentation
bin11001100101100…
…110011010011000
31002220210001010220
4121211212122120
51334344141224
6110333040040
713431610533
oct3145463230
91086701126
10429287064
112003597a8
12bb926020
136ac26c1b
1441029a1a
1527a4b279
hex19966698

429287064 has 64 divisors (see below), whose sum is σ = 1134912000. Its totient is φ = 134939520.

The previous prime is 429287021. The next prime is 429287093. The reversal of 429287064 is 460782924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102369 + ... + 106479.

It is an arithmetic number, because the mean of its divisors is an integer number (17733000).

Almost surely, 2429287064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429287064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567456000).

429287064 is an abundant number, since it is smaller than the sum of its proper divisors (705624936).

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

429287064 is a wasteful number, since it uses less digits than its factorization.

429287064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 429287064 is about 20719.2438085949. The cubic root of 429287064 is about 754.3668589323.

The spelling of 429287064 in words is "four hundred twenty-nine million, two hundred eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 229 456 458 687 916 1374 1832 2748 4111 4351 5496 8222 8702 12333 13053 16444 17404 24666 26106 32888 34808 49332 52212 78109 98664 104424 156218 234327 312436 468654 624872 937308 941419 1874616 1882838 2824257 3765676 5648514 7531352 11297028 17886961 22594056 35773922 53660883 71547844 107321766 143095688 214643532 429287064