Search a number
-
+
29470880 = 255473919
BaseRepresentation
bin111000001101…
…1000010100000
32001110021110002
41300123002200
530021032010
62531355132
7505332635
oct160330240
961407402
1029470880
11156a99aa
129a52aa8
13614b1ba
143cb218c
1528c21a5
hex1c1b0a0

29470880 has 48 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 11534592.

The previous prime is 29470879. The next prime is 29470897. The reversal of 29470880 is 8807492.

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, 5561 + ... + 9479.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 229470880 is an apocalyptic number.

29470880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

29470880 is an abundant number, since it is smaller than the sum of its proper divisors (41653600).

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

29470880 is a wasteful number, since it uses less digits than its factorization.

29470880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 29470880 is about 5428.7088704406. The cubic root of 29470880 is about 308.8856277703.

The spelling of 29470880 in words is "twenty-nine million, four hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 3919 7520 7838 15676 19595 31352 39190 62704 78380 125408 156760 184193 313520 368386 627040 736772 920965 1473544 1841930 2947088 3683860 5894176 7367720 14735440 29470880