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429689856 = 2103612293
BaseRepresentation
bin11001100111001…
…000110000000000
31002221112111200010
4121213020300000
51340000033411
6110345424520
713435206051
oct3147106000
91087474603
10429689856
11200604392
12bba9b140
136b03836b
14410d2728
1527aca7a6
hex199c8c00

429689856 has 88 divisors (see below), whose sum is σ = 1164562864. Its totient is φ = 140820480.

The previous prime is 429689809. The next prime is 429689873. The reversal of 429689856 is 658986924.

It is a junction number, because it is equal to n+sod(n) for n = 429689796 and 429689805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186246 + ... + 188538.

Almost surely, 2429689856 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 429689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582281432).

429689856 is an abundant number, since it is smaller than the sum of its proper divisors (734873008).

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

429689856 is a wasteful number, since it uses less digits than its factorization.

429689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2359 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 429689856 is about 20728.9617685016. The cubic root of 429689856 is about 754.6027212706.

The spelling of 429689856 in words is "four hundred twenty-nine million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2293 2928 3072 3904 4586 5856 6879 7808 9172 11712 13758 15616 18344 23424 27516 31232 36688 46848 55032 62464 73376 93696 110064 139873 146752 187392 220128 279746 293504 419619 440256 559492 587008 839238 880512 1118984 1174016 1678476 1761024 2237968 2348032 3356952 3522048 4475936 6713904 7044096 8951872 13427808 17903744 26855616 35807488 53711232 71614976 107422464 143229952 214844928 429689856