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196463904 = 25371343523
BaseRepresentation
bin10111011010111…
…00110100100000
3111200200101210220
423231130310200
5400243321104
631254523040
74603626030
oct1355346440
9450611726
10196463904
11a099826a
1255966480
1331919940
141c1418c0
15123ab7d9
hexbb5cd20

196463904 has 192 divisors, whose sum is σ = 650732544. Its totient is φ = 50512896.

The previous prime is 196463903. The next prime is 196463921. The reversal of 196463904 is 409364691.

196463904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (196463903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375387 + ... + 375909.

It is an arithmetic number, because the mean of its divisors is an integer number (3389232).

Almost surely, 2196463904 is an apocalyptic number.

196463904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196463904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325366272).

196463904 is an abundant number, since it is smaller than the sum of its proper divisors (454268640).

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

196463904 is a wasteful number, since it uses less digits than its factorization.

196463904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 196463904 is about 14016.5582080623. The cubic root of 196463904 is about 581.3364977991.

The spelling of 196463904 in words is "one hundred ninety-six million, four hundred sixty-three thousand, nine hundred four".