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438489048 = 233293120323
BaseRepresentation
bin11010001000101…
…100111111011000
31010120002112220010
4122020230333120
51344223122143
6111302201520
713603044504
oct3210547730
91116075803
10438489048
11205574348
12102a232a0
136cac949a
1442343304
1528767a33
hex1a22cfd8

438489048 has 64 divisors (see below), whose sum is σ = 1170662400. Its totient is φ = 136563840.

The previous prime is 438489013. The next prime is 438489053. The reversal of 438489048 is 840984834.

It is a junction number, because it is equal to n+sod(n) for n = 438488988 and 438489006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11415 + ... + 31737.

It is an arithmetic number, because the mean of its divisors is an integer number (18291600).

Almost surely, 2438489048 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 438489048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585331200).

438489048 is an abundant number, since it is smaller than the sum of its proper divisors (732173352).

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

438489048 is a wasteful number, since it uses less digits than its factorization.

438489048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20392 (or 20388 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 438489048 is about 20940.1300855558. The cubic root of 438489048 is about 759.7188757109.

The spelling of 438489048 in words is "four hundred thirty-eight million, four hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2697 3596 5394 7192 10788 20323 21576 40646 60969 81292 121938 162584 243876 487752 589367 630013 1178734 1260026 1768101 1890039 2357468 2520052 3536202 3780078 4714936 5040104 7072404 7560156 14144808 15120312 18270377 36540754 54811131 73081508 109622262 146163016 219244524 438489048