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429129402 = 2313171917033
BaseRepresentation
bin11001100100111…
…111111010111010
31002220111000212120
4121210333322322
51334324120102
6110325422110
713430353062
oct3144777272
91086430776
10429129402
112002612a9
12bb86a936
136aba0230
1440dc83a2
1527a196bc
hex1993feba

429129402 has 64 divisors (see below), whose sum is σ = 1030216320. Its totient is φ = 117725184.

The previous prime is 429129401. The next prime is 429129427. The reversal of 429129402 is 204921924.

It is not an unprimeable number, because it can be changed into a prime (429129401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16678 + ... + 33710.

It is an arithmetic number, because the mean of its divisors is an integer number (16097130).

Almost surely, 2429129402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429129402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515108160).

429129402 is an abundant number, since it is smaller than the sum of its proper divisors (601086918).

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

429129402 is a wasteful number, since it uses less digits than its factorization.

429129402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 429129402 is about 20715.4387353973. The cubic root of 429129402 is about 754.2744968426.

The spelling of 429129402 in words is "four hundred twenty-nine million, one hundred twenty-nine thousand, four hundred two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 646 663 741 969 1326 1482 1938 4199 8398 12597 17033 25194 34066 51099 102198 221429 289561 323627 442858 579122 647254 664287 868683 970881 1328574 1737366 1941762 3764293 4207151 5501659 7528586 8414302 11003318 11292879 12621453 16504977 22585758 25242906 33009954 71521567 143043134 214564701 429129402