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429297920 = 285312349
BaseRepresentation
bin11001100101101…
…001000100000000
31002220210121000222
4121211221010000
51334400013140
6110333202212
713431654302
oct3145510400
91086717028
10429297920
11200366977
12bb930368
136ac2bb4c
144102d972
1527a4e5b5
hex19969100

429297920 has 108 divisors (see below), whose sum is σ = 1065588300. Its totient is φ = 165703680.

The previous prime is 429297919. The next prime is 429297937. The reversal of 429297920 is 29792924.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 236421376 + 192876544 = 15376^2 + 13888^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1229906 + ... + 1230254.

Almost surely, 2429297920 is an apocalyptic number.

429297920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532794150).

429297920 is an abundant number, since it is smaller than the sum of its proper divisors (636290380).

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

429297920 is an equidigital number, since it uses as much as digits as its factorization.

429297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 429297920 is about 20719.5057856118. The cubic root of 429297920 is about 754.3732177990.

The spelling of 429297920 in words is "four hundred twenty-nine million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 349 496 620 640 698 961 992 1240 1280 1396 1745 1922 1984 2480 2792 3490 3844 3968 4805 4960 5584 6980 7688 7936 9610 9920 10819 11168 13960 15376 19220 19840 21638 22336 27920 30752 38440 39680 43276 44672 54095 55840 61504 76880 86552 89344 108190 111680 123008 153760 173104 216380 223360 246016 307520 335389 346208 432760 446720 615040 670778 692416 865520 1230080 1341556 1384832 1676945 1731040 2683112 2769664 3353890 3462080 5366224 6707780 6924160 10732448 13415560 13848320 21464896 26831120 42929792 53662240 85859584 107324480 214648960 429297920