Search a number
-
+
3900024752 = 24136125039
BaseRepresentation
bin1110100001110101…
…1010011110110000
3101001210120210012012
43220131122132300
530441401243002
61442555022052
7165434443361
oct35035323660
911053523165
103900024752
11172150a358
1290a13a928
134a1cb9270
1428dd6bb68
1517c5c7d52
hexe875a7b0

3900024752 has 60 divisors (see below), whose sum is σ = 8274782880. Its totient is φ = 1770151680.

The previous prime is 3900024743. The next prime is 3900024823. The reversal of 3900024752 is 2574200093.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771449 + ... + 776487.

It is an arithmetic number, because the mean of its divisors is an integer number (137913048).

Almost surely, 23900024752 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 3900024752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137391440).

3900024752 is an abundant number, since it is smaller than the sum of its proper divisors (4374758128).

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

3900024752 is a wasteful number, since it uses less digits than its factorization.

3900024752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 3900024752 is about 62450.1781582727. The cubic root of 3900024752 is about 1574.0642466377.

The spelling of 3900024752 in words is "three billion, nine hundred million, twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 488 793 976 1586 3172 3721 5039 6344 7442 10078 12688 14884 20156 29768 40312 48373 59536 65507 80624 96746 131014 193492 262028 307379 386984 524056 614758 773968 1048112 1229516 2459032 3995927 4918064 7991854 15983708 18750119 31967416 37500238 63934832 75000476 150000952 243751547 300001904 487503094 975006188 1950012376 3900024752