Search a number
-
+
939992016 = 243171923191
BaseRepresentation
bin111000000001110…
…010001111010000
32102111202112122010
4320001302033100
53411114221031
6233135142520
732202541335
oct7001621720
92374675563
10939992016
11442667a07
12222974a40
1311c9896c2
148cbaa98c
15577cb246
hex380723d0

939992016 has 120 divisors (see below), whose sum is σ = 2714451264. Its totient is φ = 279290880.

The previous prime is 939992003. The next prime is 939992017. The reversal of 939992016 is 610299939.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (939992017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292981 + ... + 296171.

Almost surely, 2939992016 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 939992016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357225632).

939992016 is an abundant number, since it is smaller than the sum of its proper divisors (1774459248).

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

939992016 is a wasteful number, since it uses less digits than its factorization.

939992016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The square root of 939992016 is about 30659.2892285519. The cubic root of 939992016 is about 979.5833352980.

The spelling of 939992016 in words is "nine hundred thirty-nine million, nine hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 361 408 456 646 722 816 912 969 1083 1292 1444 1938 2166 2584 2888 3191 3876 4332 5168 5776 6137 6382 7752 8664 9573 12274 12764 15504 17328 18411 19146 24548 25528 36822 38292 49096 51056 54247 60629 73644 76584 98192 108494 121258 147288 153168 162741 181887 216988 242516 294576 325482 363774 433976 485032 650964 727548 867952 970064 1030693 1151951 1301928 1455096 2061386 2303902 2603856 2910192 3092079 3455853 4122772 4607804 6184158 6911706 8245544 9215608 12368316 13823412 16491088 18431216 19583167 24736632 27646824 39166334 49473264 55293648 58749501 78332668 117499002 156665336 234998004 313330672 469996008 939992016