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429924894 = 23719836491
BaseRepresentation
bin11001101000000…
…010001000011110
31002221222110002020
4121220002020132
51340030044034
6110354441010
713440205230
oct3150021036
91087873066
10429924894
11200754a33
12bbb93166
136b0bb339
1441154250
1527b25249
hex19a0221e

429924894 has 64 divisors (see below), whose sum is σ = 1047029760. Its totient is φ = 114950880.

The previous prime is 429924881. The next prime is 429924899. The reversal of 429924894 is 498429924.

It is a super-2 number, since 2×4299248942 = 369670828961822472, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429924899) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62989 + ... + 69479.

It is an arithmetic number, because the mean of its divisors is an integer number (16359840).

Almost surely, 2429924894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429924894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523514880).

429924894 is an abundant number, since it is smaller than the sum of its proper divisors (617104866).

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

429924894 is a wasteful number, since it uses less digits than its factorization.

429924894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605.

The product of its digits is 1492992, while the sum is 51.

The square root of 429924894 is about 20734.6303077726. The cubic root of 429924894 is about 754.7402840448.

The spelling of 429924894 in words is "four hundred twenty-nine million, nine hundred twenty-four thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 83 114 133 166 249 266 399 498 581 798 1162 1577 1743 3154 3486 4731 6491 9462 11039 12982 19473 22078 33117 38946 45437 66234 90874 123329 136311 246658 272622 369987 538753 739974 863303 1077506 1616259 1726606 2589909 3232518 3771271 5179818 7542542 10236307 11313813 20472614 22627626 30708921 61417842 71654149 143308298 214962447 429924894