[go: up one dir, main page]

Search a number
-
+
189471744 = 2103371189
BaseRepresentation
bin10110100101100…
…01110000000000
3111012112011101000
423102301300000
5342001043434
630445012000
74460324520
oct1322616000
9435464330
10189471744
1197a51a20
1253554000
133033c177
141b241680
1511979b99
hexb4b1c00

189471744 has 352 divisors, whose sum is σ = 707443200. Its totient is φ = 48660480.

The previous prime is 189471739. The next prime is 189471773. The reversal of 189471744 is 447174981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (225792) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 189471744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128852 + ... + 2128940.

Almost surely, 2189471744 is an apocalyptic number.

189471744 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 189471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353721600).

189471744 is an abundant number, since it is smaller than the sum of its proper divisors (517971456).

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

189471744 is a wasteful number, since it uses less digits than its factorization.

189471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 189471744 is about 13764.8735555398. The cubic root of 189471744 is about 574.3564257518.

The spelling of 189471744 in words is "one hundred eighty-nine million, four hundred seventy-one thousand, seven hundred forty-four".