Search a number
-
+
29900992 = 261142473
BaseRepresentation
bin111001000010…
…0000011000000
32002021010110011
41302010003000
530123312432
62544514304
7512103622
oct162040300
962233404
1029900992
1115973070
12a01b994
13626bbc4
143d84c12
152959847
hex1c840c0

29900992 has 28 divisors (see below), whose sum is σ = 64730376. Its totient is φ = 13591040.

The previous prime is 29900987. The next prime is 29900993.

29900992 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (29900993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20533 + ... + 21940.

Almost surely, 229900992 is an apocalyptic number.

29900992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29900992 is an abundant number, since it is smaller than the sum of its proper divisors (34829384).

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

29900992 is a wasteful number, since it uses less digits than its factorization.

29900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42496 (or 42486 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 40.

The square root of 29900992 is about 5468.1799531471. The cubic root of 29900992 is about 310.3810506730.

The spelling of 29900992 in words is "twenty-nine million, nine hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 42473 84946 169892 339784 467203 679568 934406 1359136 1868812 2718272 3737624 7475248 14950496 29900992