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429881568 = 2538353951
BaseRepresentation
bin11001100111110…
…111100011100000
31002221220020122120
4121213313203200
51340022202233
6110353504240
713436635014
oct3147674340
91087806576
10429881568
11200725426
12bbb72080
136b0a46bc
1441142544
1527b174b3
hex199f78e0

429881568 has 48 divisors (see below), whose sum is σ = 1142055936. Its totient is φ = 141564800.

The previous prime is 429881561. The next prime is 429881603. The reversal of 429881568 is 865188924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4298815682 = 369596325012277248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 429881568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429881561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19008 + ... + 34943.

It is an arithmetic number, because the mean of its divisors is an integer number (23792832).

Almost surely, 2429881568 is an apocalyptic number.

429881568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429881568 is an abundant number, since it is smaller than the sum of its proper divisors (712174368).

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

429881568 is a wasteful number, since it uses less digits than its factorization.

429881568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54047 (or 54039 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 429881568 is about 20733.5855075768. The cubic root of 429881568 is about 754.7149300225.

The spelling of 429881568 in words is "four hundred twenty-nine million, eight hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 53951 107902 161853 215804 323706 431608 647412 863216 1294824 1726432 2589648 4477933 5179296 8955866 13433799 17911732 26867598 35823464 53735196 71646928 107470392 143293856 214940784 429881568