Search a number
-
+
29290632 = 2337224907
BaseRepresentation
bin110111110111…
…1000010001000
32001010010012020
41233233002020
524444300012
62523444440
7503652300
oct157570210
961103166
1029290632
1115596538
129986720
1360b7147
143c66600
152888a8c
hex1bef088

29290632 has 48 divisors (see below), whose sum is σ = 85185360. Its totient is φ = 8368416.

The previous prime is 29290627. The next prime is 29290633. The reversal of 29290632 is 23609292.

It is a happy number.

It is a super-2 number, since 2×292906322 = 1715882245918848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29290593 and 29290602.

It is not an unprimeable number, because it can be changed into a prime (29290633) 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 11 ways as a sum of consecutive naturals, for example, 11278 + ... + 13629.

It is an arithmetic number, because the mean of its divisors is an integer number (1774695).

Almost surely, 229290632 is an apocalyptic number.

It is an amenable number.

29290632 is an abundant number, since it is smaller than the sum of its proper divisors (55894728).

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

29290632 is a wasteful number, since it uses less digits than its factorization.

29290632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24930 (or 24919 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 29290632 is about 5412.0820392895. The cubic root of 29290632 is about 308.2546104031.

The spelling of 29290632 in words is "twenty-nine million, two hundred ninety thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 24907 49814 74721 99628 149442 174349 199256 298884 348698 523047 597768 697396 1046094 1220443 1394792 2092188 2440886 3661329 4184376 4881772 7322658 9763544 14645316 29290632