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4060406896 = 2471367107389
BaseRepresentation
bin1111001000000100…
…1110010001110000
3101110222101001010121
43302001032101300
531303431010041
61510524340024
7202422613660
oct36201162160
911428331117
104060406896
1117a3aa2887
129539a4614
134c92b1940
142a739a1a0
1518b7087d1
hexf204e470

4060406896 has 160 divisors (see below), whose sum is σ = 9944363520. Its totient is φ = 1563522048.

The previous prime is 4060406879. The next prime is 4060406923. The reversal of 4060406896 is 6986040604.

It is a super-2 number, since 2×40604068962 = 32973808322168709632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10437870 + ... + 10438258.

It is an arithmetic number, because the mean of its divisors is an integer number (62152272).

Almost surely, 24060406896 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 4060406896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

4060406896 is an abundant number, since it is smaller than the sum of its proper divisors (5883956624).

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

4060406896 is a wasteful number, since it uses less digits than its factorization.

4060406896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 4060406896 is about 63721.3221457308. The cubic root of 4060406896 is about 1595.3519918375.

The spelling of 4060406896 in words is "four billion, sixty million, four hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 67 91 104 107 112 134 182 208 214 268 364 389 428 469 536 728 749 778 856 871 938 1072 1391 1456 1498 1556 1712 1742 1876 2723 2782 2996 3112 3484 3752 5057 5446 5564 5992 6097 6224 6968 7169 7504 9737 10114 10892 11128 11984 12194 13936 14338 19474 20228 21784 22256 24388 26063 28676 35399 38948 40456 41623 43568 48776 50183 52126 57352 70798 77896 80912 83246 93197 97552 100366 104252 114704 141596 155792 166492 182441 186394 200732 208504 283192 291361 332984 338819 364882 372788 401464 417008 541099 566384 582722 652379 665968 677638 729764 745576 802928 1082198 1165444 1304758 1355276 1459528 1491152 2164396 2330888 2371733 2609516 2710552 2788741 2919056 3787693 4328792 4661776 4743466 5219032 5421104 5577482 7575386 8657584 9486932 10438064 11154964 15150772 18973864 19521187 22309928 30301544 36253633 37947728 39042374 44619856 60603088 72507266 78084748 145014532 156169496 253775431 290029064 312338992 507550862 580058128 1015101724 2030203448 4060406896