Search a number
-
+
39456972 = 22324371359
BaseRepresentation
bin1001011010000…
…1000011001100
32202020121210100
42112201003030
540100110342
63525411100
7656243622
oct226410314
982217710
1039456972
11202aa675
1211269a90
138236629
145351512
1536e5e4c
hex25a10cc

39456972 has 72 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 12630240.

The previous prime is 39456961. The next prime is 39456979. The reversal of 39456972 is 27965493.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (39456979) 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, 109729 + ... + 110087.

It is an arithmetic number, because the mean of its divisors is an integer number (1441440).

Almost surely, 239456972 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 39456972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

39456972 is an abundant number, since it is smaller than the sum of its proper divisors (64326708).

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

39456972 is a wasteful number, since it uses less digits than its factorization.

39456972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 39456972 is about 6281.4784883815. The cubic root of 39456972 is about 340.4405247152.

The spelling of 39456972 in words is "thirty-nine million, four hundred fifty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 71 86 129 142 172 213 258 284 359 387 426 516 639 718 774 852 1077 1278 1436 1548 2154 2556 3053 3231 4308 6106 6462 9159 12212 12924 15437 18318 25489 27477 30874 36636 46311 50978 54954 61748 76467 92622 101956 109908 138933 152934 185244 229401 277866 305868 458802 555732 917604 1096027 2192054 3288081 4384108 6576162 9864243 13152324 19728486 39456972