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190439424 = 21334741
BaseRepresentation
bin10110101100111…
…10000000000000
3111021100022210000
423112132000000
5342223030144
630521440000
74501464660
oct1326360000
9437308700
10190439424
1198552a5a
1253940000
13305ba766
141b4141a0
1511abb769
hexb59e000

190439424 has 280 divisors, whose sum is σ = 666067248. Its totient is φ = 53084160.

The previous prime is 190439419. The next prime is 190439429. The reversal of 190439424 is 424934091.

190439424 is a `hidden beast` number, since 190 + 43 + 9 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (190439419) and next prime (190439429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190439429) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644844 + ... + 4644884.

Almost surely, 2190439424 is an apocalyptic number.

190439424 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 190439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333033624).

190439424 is an abundant number, since it is smaller than the sum of its proper divisors (475627824).

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

190439424 is an frugal number, since it uses more digits than its factorization.

190439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 190439424 is about 13799.9791304190. The cubic root of 190439424 is about 575.3325602365.

It can be divided in two parts, 1904 and 39424, that added together give a triangular number (41328 = T287).

The spelling of 190439424 in words is "one hundred ninety million, four hundred thirty-nine thousand, four hundred twenty-four".