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429444488 = 23113311301
BaseRepresentation
bin11001100110001…
…100110110001000
31002221002001002102
4121212030312020
51334414210423
6110340252532
713433134514
oct3146146610
91087061072
10429444488
11200457000
12bb9a1148
136ac80785
144106b144
1527a7cc28
hex1998cd88

429444488 has 64 divisors (see below), whose sum is σ = 914941440. Its totient is φ = 188760000.

The previous prime is 429444481. The next prime is 429444541. The reversal of 429444488 is 884444924.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (429444481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329438 + ... + 330738.

It is an arithmetic number, because the mean of its divisors is an integer number (14295960).

Almost surely, 2429444488 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 429444488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457470720).

429444488 is an abundant number, since it is smaller than the sum of its proper divisors (485496952).

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

429444488 is a wasteful number, since it uses less digits than its factorization.

429444488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1345 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 47.

The square root of 429444488 is about 20723.0424407228. The cubic root of 429444488 is about 754.4590590357.

It can be divided in two parts, 4 and 29444488, that added together give a palindrome (29444492).

The spelling of 429444488 in words is "four hundred twenty-nine million, four hundred forty-four thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1301 1331 1364 2602 2662 2728 3751 5204 5324 7502 10408 10648 14311 15004 28622 30008 40331 41261 57244 80662 82522 114488 157421 161324 165044 314842 322648 330088 443641 629684 887282 1259368 1731631 1774564 3463262 3549128 4880051 6926524 9760102 13853048 19520204 39040408 53680561 107361122 214722244 429444488