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429188396 = 227134725087
BaseRepresentation
bin11001100101001…
…110010100101100
31002220121000210112
4121211032110230
51334333012041
6110330555152
713431020060
oct3145162454
91086530715
10429188396
112002a165a
12bb898ab8
136abc1040
1441001aa0
1527a2bdeb
hex1994e52c

429188396 has 48 divisors (see below), whose sum is σ = 944111616. Its totient is φ = 166169664.

The previous prime is 429188387. The next prime is 429188401. The reversal of 429188396 is 693881924.

It is a happy number.

It is a super-2 number, since 2×4291883962 = 368405358522105632, which contains 22 as substring.

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, 4565 + ... + 29651.

It is an arithmetic number, because the mean of its divisors is an integer number (19668992).

Almost surely, 2429188396 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 429188396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472055808).

429188396 is an abundant number, since it is smaller than the sum of its proper divisors (514923220).

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

429188396 is a wasteful number, since it uses less digits than its factorization.

429188396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25158 (or 25156 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 429188396 is about 20716.8626003070. The cubic root of 429188396 is about 754.3090595569.

The spelling of 429188396 in words is "four hundred twenty-nine million, one hundred eighty-eight thousand, three hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1222 1316 2444 4277 8554 17108 25087 50174 100348 175609 326131 351218 652262 702436 1179089 1304524 2282917 2358178 4565834 4716356 8253623 9131668 15328157 16507246 30656314 33014492 61312628 107297099 214594198 429188396