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3946244952 = 23313175711303
BaseRepresentation
bin1110101100110110…
…1110101101011000
3101012000120000101110
43223031232231120
531040214314302
61451325420320
7166535346216
oct35315565530
911160500343
103946244952
111745609271
1292170a6a0
134ab7500b0
1429615dcb6
151816a7b6c
hexeb36eb58

3946244952 has 128 divisors (see below), whose sum is σ = 11277826560. Its totient is φ = 1139927040.

The previous prime is 3946244927. The next prime is 3946244963. The reversal of 3946244952 is 2594426493.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3027933 + ... + 3029235.

It is an arithmetic number, because the mean of its divisors is an integer number (88108020).

Almost surely, 23946244952 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 3946244952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638913280).

3946244952 is an abundant number, since it is smaller than the sum of its proper divisors (7331581608).

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

3946244952 is a wasteful number, since it uses less digits than its factorization.

3946244952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1909 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 3946244952 is about 62819.1447888301. The cubic root of 3946244952 is about 1580.2580564455.

The spelling of 3946244952 in words is "three billion, nine hundred forty-six million, two hundred forty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 571 663 884 1142 1303 1326 1713 1768 2284 2606 2652 3426 3909 4568 5212 5304 6852 7423 7818 9707 10424 13704 14846 15636 16939 19414 22151 22269 29121 29692 31272 33878 38828 44302 44538 50817 58242 59384 66453 67756 77656 88604 89076 101634 116484 126191 132906 135512 177208 178152 203268 232968 252382 265812 287963 378573 406536 504764 531624 575926 744013 757146 863889 1009528 1151852 1488026 1514292 1727778 2232039 2303704 2976052 3028584 3455556 4464078 5952104 6911112 8928156 9672169 12648221 17856312 19344338 25296442 29016507 37944663 38688676 50592884 58033014 75889326 77377352 101185768 116066028 151778652 164426873 232132056 303557304 328853746 493280619 657707492 986561238 1315414984 1973122476 3946244952