Search a number
-
+
29090656 = 257612129
BaseRepresentation
bin110111011111…
…0001101100000
32000201221212201
41232332031200
524421400111
62515302544
7502160260
oct156761540
960657781
1029090656
111546a271
1298aaa54
13604710a
143c137a0
1528496c1
hex1bbe360

29090656 has 48 divisors (see below), whose sum is σ = 66558240. Its totient is φ = 12257280.

The previous prime is 29090651. The next prime is 29090657. The reversal of 29090656 is 65609092.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29090651) 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, 12600 + ... + 14728.

It is an arithmetic number, because the mean of its divisors is an integer number (1386630).

Almost surely, 229090656 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 29090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33279120).

29090656 is an abundant number, since it is smaller than the sum of its proper divisors (37467584).

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

29090656 is a wasteful number, since it uses less digits than its factorization.

29090656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 29090656 is about 5393.5754374997. The cubic root of 29090656 is about 307.5514920270.

The spelling of 29090656 in words is "twenty-nine million, ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 2129 3416 4258 6832 8516 13664 14903 17032 29806 34064 59612 68128 119224 129869 238448 259738 476896 519476 909083 1038952 1818166 2077904 3636332 4155808 7272664 14545328 29090656