Search a number
-
+
39933282272 = 2513237357173
BaseRepresentation
bin100101001100001101…
…011000011111100000
310211002000111220222112
4211030031120133200
51123240410013042
630202312454452
72612404204322
oct451415303740
9124060456875
1039933282272
1115a3232a024
1278a56aa428
1339c52c2a10
141d0b7a1612
15108ac08982
hex94c3587e0

39933282272 has 96 divisors (see below), whose sum is σ = 89559183168. Its totient is φ = 17387606016.

The previous prime is 39933282271. The next prime is 39933282293. The reversal of 39933282272 is 27228233993.

It is a self number, because there is not a number n which added to its sum of digits gives 39933282272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39933282271) 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, 669878 + ... + 727050.

It is an arithmetic number, because the mean of its divisors is an integer number (932908158).

Almost surely, 239933282272 is an apocalyptic number.

39933282272 is a gapful number since it is divisible by the number (32) 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 39933282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44779591584).

39933282272 is an abundant number, since it is smaller than the sum of its proper divisors (49625900896).

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

39933282272 is a wasteful number, since it uses less digits than its factorization.

39933282272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57292 (or 57284 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 50.

The spelling of 39933282272 in words is "thirty-nine billion, nine hundred thirty-three million, two hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 73 92 104 146 184 208 292 299 368 416 584 598 736 949 1168 1196 1679 1898 2336 2392 3358 3796 4784 6716 7592 9568 13432 15184 21827 26864 30368 43654 53728 57173 87308 114346 174616 228692 349232 457384 698464 743249 914768 1314979 1486498 1829536 2629958 2972996 4173629 5259916 5945992 8347258 10519832 11891984 16694516 17094727 21039664 23783968 33389032 34189454 42079328 54257177 66778064 68378908 95993467 108514354 133556128 136757816 191986934 217028708 273515632 383973868 434057416 547031264 767947736 868114832 1247915071 1535895472 1736229664 2495830142 3071790944 4991660284 9983320568 19966641136 39933282272