Search a number
-
+
2032944672 = 2531119101323
BaseRepresentation
bin111100100101100…
…0100011000100000
312020200100021211010
41321023010120200
513130413212142
6533421020520
7101243513253
oct17113043040
95220307733
102032944672
119535a9470
124889b4740
13265240755
14153dd309a
15bd71de9c
hex792c4620

2032944672 has 96 divisors (see below), whose sum is σ = 6128075520. Its totient is φ = 583614720.

The previous prime is 2032944623. The next prime is 2032944673. The reversal of 2032944672 is 2764492302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2032944672.

It is not an unprimeable number, because it can be changed into a prime (2032944673) 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, 30598 + ... + 70725.

It is an arithmetic number, because the mean of its divisors is an integer number (63834120).

Almost surely, 22032944672 is an apocalyptic number.

2032944672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2032944672 is an abundant number, since it is smaller than the sum of its proper divisors (4095130848).

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

2032944672 is a wasteful number, since it uses less digits than its factorization.

2032944672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101366 (or 101358 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2032944672 is about 45088.1877213977. The cubic root of 2032944672 is about 1266.8013564376.

The spelling of 2032944672 in words is "two billion, thirty-two million, nine hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 101323 202646 303969 405292 607938 810584 1114553 1215876 1621168 1925137 2229106 2431752 3242336 3343659 3850274 4458212 4863504 5775411 6687318 7700548 8916424 9727008 11550822 13374636 15401096 17832848 21176507 23101644 26749272 30802192 35665696 42353014 46203288 53498544 61604384 63529521 84706028 92406576 106997088 127059042 169412056 184813152 254118084 338824112 508236168 677648224 1016472336 2032944672