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429499112 = 2373193811
BaseRepresentation
bin11001100110011…
…010001011101000
31002221011211000112
4121212122023220
51334422432422
6110341353452
713433453000
oct3146321350
91087154015
10429499112
11200494049
12bba08888
136ac9c5b3
1441083000
1527a8dee2
hex1999a2e8

429499112 has 64 divisors (see below), whose sum is σ = 945168000. Its totient is φ = 182891520.

The previous prime is 429499087. The next prime is 429499127. The reversal of 429499112 is 211994924.

It is a cake number, because a cake can be divided into 429499112 parts by 1371 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 429499112.

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, 529187 + ... + 529997.

It is an arithmetic number, because the mean of its divisors is an integer number (14768250).

Almost surely, 2429499112 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 429499112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472584000).

429499112 is an abundant number, since it is smaller than the sum of its proper divisors (515668888).

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

429499112 is a wasteful number, since it uses less digits than its factorization.

429499112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1013 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 429499112 is about 20724.3603520109. The cubic root of 429499112 is about 754.4910459596.

The spelling of 429499112 in words is "four hundred twenty-nine million, four hundred ninety-nine thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 343 386 392 686 772 811 1351 1372 1544 1622 2702 2744 3244 5404 5677 6488 9457 10808 11354 18914 22708 37828 39739 45416 66199 75656 79478 132398 156523 158956 264796 278173 313046 317912 529592 556346 626092 1095661 1112692 1252184 2191322 2225384 4382644 7669627 8765288 15339254 30678508 53687389 61357016 107374778 214749556 429499112