Search a number
-
+
29749216 = 257592251
BaseRepresentation
bin111000101111…
…0111111100000
32001222102020211
41301132333200
530103433331
62541343504
7510602260
oct161367740
961872224
1029749216
111587a032
129b67b94
136217ab3
143d457a0
1529298b1
hex1c5efe0

29749216 has 48 divisors (see below), whose sum is σ = 68100480. Its totient is φ = 12528000.

The previous prime is 29749211. The next prime is 29749217. The reversal of 29749216 is 61294792.

It is a super-2 number, since 2×297492162 = 1770031705229312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29749211) 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, 12091 + ... + 14341.

It is an arithmetic number, because the mean of its divisors is an integer number (1418760).

Almost surely, 229749216 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 29749216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34050240).

29749216 is an abundant number, since it is smaller than the sum of its proper divisors (38351264).

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

29749216 is a wasteful number, since it uses less digits than its factorization.

29749216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2319 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 29749216 is about 5454.2841876822. The cubic root of 29749216 is about 309.8549998257.

The spelling of 29749216 in words is "twenty-nine million, seven hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 2251 3304 4502 6608 9004 13216 15757 18008 31514 36016 63028 72032 126056 132809 252112 265618 504224 531236 929663 1062472 1859326 2124944 3718652 4249888 7437304 14874608 29749216