Search a number
-
+
39049956 = 223211313181
BaseRepresentation
bin1001010011110…
…1101011100100
32201110221110200
42110331223210
534444044311
63512550500
7652630161
oct224755344
981427420
1039049956
11200518a0
12110b2430
1381232aa
145287068
153665556
hex253dae4

39049956 has 72 divisors (see below), whose sum is σ = 111191808. Its totient is φ = 11448000.

The previous prime is 39049951. The next prime is 39049957. The reversal of 39049956 is 65994093.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (39049951) 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, 10686 + ... + 13866.

Almost surely, 239049956 is an apocalyptic number.

39049956 is a gapful number since it is divisible by the number (36) 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 39049956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595904).

39049956 is an abundant number, since it is smaller than the sum of its proper divisors (72141852).

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

39049956 is a wasteful number, since it uses less digits than its factorization.

39049956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 39049956 is about 6248.9963994229. The cubic root of 39049956 is about 339.2658785544.

Adding to 39049956 its sum of digits (45), we get a square (39050001 = 62492).

The spelling of 39049956 in words is "thirty-nine million, forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 3181 4092 6138 6362 9543 12276 12724 19086 28629 34991 38172 57258 69982 98611 104973 114516 139964 197222 209946 295833 314919 394444 419892 591666 629838 887499 1084721 1183332 1259676 1774998 2169442 3254163 3549996 4338884 6508326 9762489 13016652 19524978 39049956