Search a number
-
+
1922496032 = 252323372
BaseRepresentation
bin111001010010110…
…1111011000100000
311221222111220202202
41302211233120200
512414124333112
6514433432332
765432642462
oct16245573040
94858456682
101922496032
118a72207a6
12457a0b6a8
132483ac122
14143482132
15b3ba36c2
hex7296f620

1922496032 has 54 divisors (see below), whose sum is σ = 3968405973. Its totient is φ = 916726272.

The previous prime is 1922496029. The next prime is 1922496053. The reversal of 1922496032 is 2306942291.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1814419216 + 108076816 = 42596^2 + 10396^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=31004.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5704568 + ... + 5704904.

Almost surely, 21922496032 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 1922496032

1922496032 is an abundant number, since it is smaller than the sum of its proper divisors (2045909941).

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

1922496032 is an frugal number, since it uses more digits than its factorization.

1922496032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 1922496032 is about 43846.2772878154. The cubic root of 1922496032 is about 1243.4313630290.

The spelling of 1922496032 in words is "one billion, nine hundred twenty-two million, four hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 337 368 529 674 736 1058 1348 2116 2696 4232 5392 7751 8464 10784 15502 16928 31004 62008 113569 124016 178273 227138 248032 356546 454276 713092 908552 1426184 1817104 2612087 2852368 3634208 5224174 5704736 10448348 20896696 41793392 60078001 83586784 120156002 240312004 480624008 961248016 1922496032