Search a number
-
+
29850016 = 257219037
BaseRepresentation
bin111000111011…
…1100110100000
32002011112112011
41301313212200
530120200031
62543442304
7511502200
oct161674640
962145464
1029850016
1115938839
129bb6394
136251941
143d70400
1529496b1
hex1c779a0

29850016 has 36 divisors (see below), whose sum is σ = 68365458. Its totient is φ = 12792192.

The previous prime is 29850013. The next prime is 29850043. The reversal of 29850016 is 61005892.

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 38416 = 5460^2 + 196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29850016.

It is not an unprimeable number, because it can be changed into a prime (29850013) 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 5 ways as a sum of consecutive naturals, for example, 7951 + ... + 11086.

Almost surely, 229850016 is an apocalyptic number.

It is an amenable number.

29850016 is an abundant number, since it is smaller than the sum of its proper divisors (38515442).

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

29850016 is a wasteful number, since it uses less digits than its factorization.

29850016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061 (or 19046 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 29850016 is about 5463.5168161176. The cubic root of 29850016 is about 310.2045684099.

The spelling of 29850016 in words is "twenty-nine million, eight hundred fifty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 19037 38074 76148 133259 152296 266518 304592 533036 609184 932813 1066072 1865626 2132144 3731252 4264288 7462504 14925008 29850016