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193940896 = 2517356509
BaseRepresentation
bin10111000111101…
…00110110100000
3111111221012220011
423203310312200
5344122102041
631124454304
74543320232
oct1343646640
9444835804
10193940896
119a524736
1254b4a394
1331245436
141ba86252
151205de81
hexb8f4da0

193940896 has 24 divisors (see below), whose sum is σ = 404282340. Its totient is φ = 91266048.

The previous prime is 193940891. The next prime is 193940909. The reversal of 193940896 is 698049391.

193940896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 145443600 + 48497296 = 12060^2 + 6964^2 .

It is a super-2 number, since 2×1939408962 = 75226142282565632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193940891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177711 + ... + 178798.

Almost surely, 2193940896 is an apocalyptic number.

193940896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

193940896 is an abundant number, since it is smaller than the sum of its proper divisors (210341444).

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

193940896 is a wasteful number, since it uses less digits than its factorization.

193940896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356536 (or 356528 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The square root of 193940896 is about 13926.2664056092. The cubic root of 193940896 is about 578.8372424526.

The spelling of 193940896 in words is "one hundred ninety-three million, nine hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 356509 713018 1426036 2852072 5704144 6060653 11408288 12121306 24242612 48485224 96970448 193940896