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3930941952 = 29327121867
BaseRepresentation
bin1110101001001101…
…0110101000000000
3101010221202112121200
43222103112220000
531022310120302
61450021421200
7166261312110
oct35223265000
911127675550
103930941952
111737a06963
1291856a800
134a8522872
142940d9040
1518018381c
hexea4d6a00

3930941952 has 120 divisors (see below), whose sum is σ = 12965780256. Its totient is φ = 1123117056.

The previous prime is 3930941947. The next prime is 3930941957. The reversal of 3930941952 is 2591490393.

It is an interprime number because it is at equal distance from previous prime (3930941947) and next prime (3930941957).

It is a junction number, because it is equal to n+sod(n) for n = 3930941898 and 3930941907.

It is not an unprimeable number, because it can be changed into a prime (3930941957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28678 + ... + 93189.

Almost surely, 23930941952 is an apocalyptic number.

3930941952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3930941952 is an abundant number, since it is smaller than the sum of its proper divisors (9034838304).

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

3930941952 is a wasteful number, since it uses less digits than its factorization.

3930941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121898 (or 121879 counting only the distinct ones).

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

The square root of 3930941952 is about 62697.2244361742. The cubic root of 3930941952 is about 1578.2127352260.

The spelling of 3930941952 in words is "three billion, nine hundred thirty million, nine hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 121867 243734 365601 487468 731202 853069 974936 1096803 1462404 1706138 1949872 2193606 2559207 2924808 3412276 3899744 4387212 5118414 5849616 6824552 7677621 7799488 8774424 10236828 11699232 13649104 15355242 15598976 17548848 20473656 23398464 27298208 30710484 31197952 35097696 40947312 46796928 54596416 61420968 62395904 70195392 81894624 93593856 109192832 122841936 140390784 163789248 187187712 218385664 245683872 280781568 327578496 436771328 491367744 561563136 655156992 982735488 1310313984 1965470976 3930941952