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429299680 = 25519283499
BaseRepresentation
bin11001100101101…
…001011111100000
31002220210200110011
4121211221133200
51334400042210
6110333214304
713431662365
oct3145513740
91086720404
10429299680
11200368227
12bb931394
136ac2c8a4
144103046c
1527a4ed8a
hex199697e0

429299680 has 96 divisors (see below), whose sum is σ = 1073520000. Its totient is φ = 161782272.

The previous prime is 429299677. The next prime is 429299681. The reversal of 429299680 is 86992924.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429299681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860071 + ... + 860569.

It is an arithmetic number, because the mean of its divisors is an integer number (11182500).

Almost surely, 2429299680 is an apocalyptic number.

429299680 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 429299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536760000).

429299680 is an abundant number, since it is smaller than the sum of its proper divisors (644220320).

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

429299680 is a wasteful number, since it uses less digits than its factorization.

429299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 429299680 is about 20719.5482576238. The cubic root of 429299680 is about 754.3742487031.

The spelling of 429299680 in words is "four hundred twenty-nine million, two hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 283 304 380 499 566 608 760 998 1132 1415 1520 1996 2264 2495 2830 3040 3992 4528 4990 5377 5660 7984 9056 9481 9980 10754 11320 15968 18962 19960 21508 22640 26885 37924 39920 43016 45280 47405 53770 75848 79840 86032 94810 107540 141217 151696 172064 189620 215080 282434 303392 379240 430160 564868 706085 758480 860320 1129736 1412170 1516960 2259472 2683123 2824340 4518944 5366246 5648680 10732492 11297360 13415615 21464984 22594720 26831230 42929968 53662460 85859936 107324920 214649840 429299680