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429366028 = 22741319181
BaseRepresentation
bin11001100101111…
…001101100001100
31002220221001110111
4121211321230030
51334404203103
6110334445404
713432360000
oct3145715414
91086831414
10429366028
11200403063
12bb963864
136ac53b50
144104a700
1527a6486d
hex19979b0c

429366028 has 120 divisors (see below), whose sum is σ = 999172720. Its totient is φ = 160030080.

The previous prime is 429366023. The next prime is 429366029. The reversal of 429366028 is 820663924.

It is not an unprimeable number, because it can be changed into a prime (429366023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2372098 + ... + 2372278.

Almost surely, 2429366028 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 429366028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499586360).

429366028 is an abundant number, since it is smaller than the sum of its proper divisors (569806692).

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

429366028 is a wasteful number, since it uses less digits than its factorization.

429366028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 429366028 is about 20721.1492924500. The cubic root of 429366028 is about 754.4131093924.

The spelling of 429366028 in words is "four hundred twenty-nine million, three hundred sixty-six thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 181 182 196 247 266 343 362 364 494 532 637 686 724 931 988 1267 1274 1372 1729 1862 2353 2401 2534 2548 3439 3458 3724 4459 4706 4802 5068 6517 6878 6916 8869 8918 9412 9604 12103 13034 13756 16471 17738 17836 24073 24206 26068 31213 32942 35476 44707 45619 48146 48412 62083 62426 65884 84721 89414 91238 96292 115297 124166 124852 168511 169442 178828 182476 230594 248332 312949 337022 338884 434581 461188 593047 625898 674044 807079 869162 1179577 1186094 1251796 1614158 1738324 2190643 2359154 2372188 3228316 4381286 4718308 5649553 8257039 8762572 11299106 15334501 16514078 22598212 30669002 33028156 61338004 107341507 214683014 429366028