Search a number
-
+
19312992 = 25347451
BaseRepresentation
bin100100110101…
…1000101100000
31100100012110000
41021223011200
514421003432
61525540000
7323105046
oct111530540
940305400
1019312992
11a9a1156
126574600
13400280a
1427ca396
151a6757c
hex126b160

19312992 has 60 divisors (see below), whose sum is σ = 56806596. Its totient is φ = 6436800.

The previous prime is 19312973. The next prime is 19313011. The reversal of 19312992 is 29921391.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19312973) and next prime (19313011).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1134 + ... + 6317.

Almost surely, 219312992 is an apocalyptic number.

19312992 is a gapful number since it is divisible by the number (12) 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 19312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28403298).

19312992 is an abundant number, since it is smaller than the sum of its proper divisors (37493604).

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

19312992 is an equidigital number, since it uses as much as digits as its factorization.

19312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473 (or 7456 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 19312992 is about 4394.6549352594. The cubic root of 19312992 is about 268.2974346825.

The spelling of 19312992 in words is "nineteen million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7451 14902 22353 29804 44706 59608 67059 89412 119216 134118 178824 201177 238432 268236 357648 402354 536472 603531 715296 804708 1072944 1207062 1609416 2145888 2414124 3218832 4828248 6437664 9656496 19312992