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429428600 = 23524914373
BaseRepresentation
bin11001100110001…
…000111101111000
31002221001020021222
4121212020331320
51334413203400
6110340051212
713433040266
oct3146107570
91087036258
10429428600
11200446077
12bb993b08
136ac76483
1441065436
1527a78185
hex19988f78

429428600 has 48 divisors (see below), whose sum is σ = 1000683720. Its totient is φ = 171382400.

The previous prime is 429428599. The next prime is 429428627. The reversal of 429428600 is 6824924.

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, 96014 + ... + 100386.

Almost surely, 2429428600 is an apocalyptic number.

429428600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429428600 is an abundant number, since it is smaller than the sum of its proper divisors (571255120).

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

429428600 is a wasteful number, since it uses less digits than its factorization.

429428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4871 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 429428600 is about 20722.6590957821. The cubic root of 429428600 is about 754.4497547727.

The spelling of 429428600 in words is "four hundred twenty-nine million, four hundred twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 491 982 1964 2455 3928 4373 4910 8746 9820 12275 17492 19640 21865 24550 34984 43730 49100 87460 98200 109325 174920 218650 437300 874600 2147143 4294286 8588572 10735715 17177144 21471430 42942860 53678575 85885720 107357150 214714300 429428600