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470883042 = 232721928099
BaseRepresentation
bin11100000100010…
…001101011100010
31012211001100002200
4130010101223202
51431021224132
6114420354030
714445303600
oct3404215342
91184040080
10470883042
1122188a443
12111845916
137672c026
1446776870
152b515d7c
hex1c111ae2

470883042 has 72 divisors (see below), whose sum is σ = 1249326000. Its totient is φ = 127452528.

The previous prime is 470883041. The next prime is 470883043. The reversal of 470883042 is 240388074.

It is an interprime number because it is at equal distance from previous prime (470883041) and next prime (470883043).

It is a junction number, because it is equal to n+sod(n) for n = 470882988 and 470883006.

It is not an unprimeable number, because it can be changed into a prime (470883041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2709 + ... + 30807.

It is an arithmetic number, because the mean of its divisors is an integer number (17351750).

Almost surely, 2470883042 is an apocalyptic number.

470883042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 470883042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624663000).

470883042 is an abundant number, since it is smaller than the sum of its proper divisors (778442958).

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

470883042 is a wasteful number, since it uses less digits than its factorization.

470883042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28140 (or 28130 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 470883042 is about 21699.8396768271. The cubic root of 470883042 is about 777.9846295010.

The spelling of 470883042 in words is "four hundred seventy million, eight hundred eighty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2394 2793 5586 8379 16758 28099 56198 84297 168594 196693 252891 393386 505782 533881 590079 1067762 1180158 1376851 1601643 1770237 2753702 3203286 3540474 3737167 4130553 4804929 7474334 8261106 9609858 11211501 12391659 22423002 24783318 26160169 33634503 52320338 67269006 78480507 156961014 235441521 470883042