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429954444 = 223253225343
BaseRepresentation
bin11001101000001…
…001010110001100
31002222000221121200
4121220021112030
51340032020234
6110355225500
713440360333
oct3150112614
91088027550
10429954444
11200775157
12bbba8290
136b0cb91a
1441160d1a
1527b2dd99
hex19a0958c

429954444 has 36 divisors (see below), whose sum is σ = 1107340416. Its totient is φ = 140613408.

The previous prime is 429954443. The next prime is 429954509. The reversal of 429954444 is 444459924.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 429954444.

It is not an unprimeable number, because it can be changed into a prime (429954443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110764 + ... + 114579.

It is an arithmetic number, because the mean of its divisors is an integer number (30759456).

Almost surely, 2429954444 is an apocalyptic number.

It is an amenable number.

429954444 is an abundant number, since it is smaller than the sum of its proper divisors (677385972).

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

429954444 is a wasteful number, since it uses less digits than its factorization.

429954444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225406 (or 225401 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 429954444 is about 20735.3428715322. The cubic root of 429954444 is about 754.7575754870.

The spelling of 429954444 in words is "four hundred twenty-nine million, nine hundred fifty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 225343 450686 676029 901372 1352058 2028087 2704116 4056174 8112348 11943179 23886358 35829537 47772716 71659074 107488611 143318148 214977222 429954444