Search a number
-
+
1924076688 = 243292814919
BaseRepresentation
bin111001010101111…
…0001010010010000
311222002111020000120
41302223301102100
512420030423223
6514531350240
765452245012
oct16253612220
94862436016
101924076688
118a8100326
12458452380
13248813721
141437741b2
15b3db6be3
hex72af1490

1924076688 has 80 divisors (see below), whose sum is σ = 5161276800. Its totient is φ = 616913920.

The previous prime is 1924076683. The next prime is 1924076699. The reversal of 1924076688 is 8866704291.

It is a super-2 number, since 2×19240766882 = 7404142202610098688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1924076688.

It is not an unprimeable number, because it can be changed into a prime (1924076681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388693 + ... + 393611.

It is an arithmetic number, because the mean of its divisors is an integer number (64515960).

Almost surely, 21924076688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1924076688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580638400).

1924076688 is an abundant number, since it is smaller than the sum of its proper divisors (3237200112).

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

1924076688 is a wasteful number, since it uses less digits than its factorization.

1924076688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 1924076688 is about 43864.2985581669. The cubic root of 1924076688 is about 1243.7720484025.

The spelling of 1924076688 in words is "one billion, nine hundred twenty-four million, seventy-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 281 348 464 562 696 843 1124 1392 1686 2248 3372 4496 4919 6744 8149 9838 13488 14757 16298 19676 24447 29514 32596 39352 48894 59028 65192 78704 97788 118056 130384 142651 195576 236112 285302 391152 427953 570604 855906 1141208 1382239 1711812 2282416 2764478 3423624 4146717 5528956 6847248 8293434 11057912 16586868 22115824 33173736 40084931 66347472 80169862 120254793 160339724 240509586 320679448 481019172 641358896 962038344 1924076688