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193894912 = 29438807
BaseRepresentation
bin10111000111010…
…01101000000000
3111111211212211001
423203221220000
5344114114122
631123501344
74543036201
oct1343515000
9444755731
10193894912
119a4a3132
1254b27854
133122a523
141ba735a8
1512050527
hexb8e9a00

193894912 has 40 divisors (see below), whose sum is σ = 396465696. Its totient is φ = 94682112.

The previous prime is 193894907. The next prime is 193894919. The reversal of 193894912 is 219498391.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (193894919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17613 + ... + 26419.

Almost surely, 2193894912 is an apocalyptic number.

193894912 is the 8807-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198232848).

193894912 is an abundant number, since it is smaller than the sum of its proper divisors (202570784).

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

193894912 is an frugal number, since it uses more digits than its factorization.

193894912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8852 counting only the distinct ones).

The product of its digits is 139968, while the sum is 46.

The square root of 193894912 is about 13924.6153268232. The cubic root of 193894912 is about 578.7914907893.

The spelling of 193894912 in words is "one hundred ninety-three million, eight hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 2752 5504 8807 11008 17614 22016 35228 70456 140912 281824 378701 563648 757402 1127296 1514804 2254592 3029608 4509184 6059216 12118432 24236864 48473728 96947456 193894912