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429992496 = 24331952387
BaseRepresentation
bin11001101000010…
…010101000110000
31002222002212211000
4121220102220300
51340034224441
6110400122000
713440606303
oct3150225060
91088085730
10429992496
112007a07aa
12100006300
136b11303b
1441170b3a
1527b3a2b6
hex19a12a30

429992496 has 80 divisors (see below), whose sum is σ = 1299222400. Its totient is φ = 135784512.

The previous prime is 429992473. The next prime is 429992513. The reversal of 429992496 is 694299924.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 17986 + ... + 34401.

It is an arithmetic number, because the mean of its divisors is an integer number (16240280).

Almost surely, 2429992496 is an apocalyptic number.

It is an amenable number.

429992496 is an abundant number, since it is smaller than the sum of its proper divisors (869229904).

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

429992496 is a wasteful number, since it uses less digits than its factorization.

429992496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52423 (or 52411 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 429992496 is about 20736.2604150314. The cubic root of 429992496 is about 754.7798407824.

The spelling of 429992496 in words is "four hundred twenty-nine million, nine hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 52387 104774 157161 209548 314322 419096 471483 628644 838192 942966 995353 1257288 1414449 1885932 1990706 2514576 2828898 2986059 3771864 3981412 5657796 5972118 7543728 7962824 8958177 11315592 11944236 15925648 17916354 22631184 23888472 26874531 35832708 47776944 53749062 71665416 107498124 143330832 214996248 429992496