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3962994256 = 2413671991429
BaseRepresentation
bin1110110000110110…
…0111111001010000
3101020012001222010001
43230031213321100
531104011304011
61453124415344
7200130616054
oct35415477120
911205058101
103962994256
111754009271
12927247554
134b2065a20
1429847dc64
15182db57c1
hexec367e50

3962994256 has 80 divisors (see below), whose sum is σ = 8440432000. Its totient is φ = 1791465984.

The previous prime is 3962994229. The next prime is 3962994271. The reversal of 3962994256 is 6524992693.

It is a junction number, because it is equal to n+sod(n) for n = 3962994197 and 3962994206.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 2772550 + ... + 2773978.

It is an arithmetic number, because the mean of its divisors is an integer number (105505400).

Almost surely, 23962994256 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 3962994256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220216000).

3962994256 is an abundant number, since it is smaller than the sum of its proper divisors (4477437744).

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

3962994256 is a wasteful number, since it uses less digits than its factorization.

3962994256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1710 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 55.

The square root of 3962994256 is about 62952.3173203338. The cubic root of 3962994256 is about 1582.4906314651.

The spelling of 3962994256 in words is "three billion, nine hundred sixty-two million, nine hundred ninety-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 199 208 268 398 536 796 871 1072 1429 1592 1742 2587 2858 3184 3484 5174 5716 6968 10348 11432 13333 13936 18577 20696 22864 26666 37154 41392 53332 74308 95743 106664 148616 173329 191486 213328 284371 297232 346658 382972 568742 693316 765944 1137484 1244659 1386632 1531888 2274968 2489318 2773264 3696823 4549936 4978636 7393646 9957272 14787292 19052857 19914544 29574584 38105714 59149168 76211428 152422856 247687141 304845712 495374282 990748564 1981497128 3962994256