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3996262656 = 28344392
BaseRepresentation
bin1110111000110010…
…0010000100000000
3101022111200011210000
43232030202010000
531141020401111
61500313440000
7201013446351
oct35614420400
911274604700
103996262656
111770871311
12936410000
134b8c13579
1429ca5dd28
15185c87c56
hexee322100

3996262656 has 135 divisors (see below), whose sum is σ = 11943337791. Its totient is φ = 1329053184.

The previous prime is 3996262591. The next prime is 3996262667. The reversal of 3996262656 is 6562626993.

The square root of 3996262656 is 63216.

It is a perfect power (a square), and thus also a powerful number.

3996262656 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 2 + 626 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9102885 + ... + 9103323.

Almost surely, 23996262656 is an apocalyptic number.

3996262656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3996262656 is the 63216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996262656

3996262656 is an abundant number, since it is smaller than the sum of its proper divisors (7947075135).

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

3996262656 is an frugal number, since it uses more digits than its factorization.

3996262656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 444 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The cubic root of 3996262656 is about 1586.9065092634.

The spelling of 3996262656 in words is "three billion, nine hundred ninety-six million, two hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 439 576 648 768 864 878 1152 1296 1317 1728 1756 2304 2592 2634 3456 3512 3951 5184 5268 6912 7024 7902 10368 10536 11853 14048 15804 20736 21072 23706 28096 31608 35559 42144 47412 56192 63216 71118 84288 94824 112384 126432 142236 168576 189648 192721 252864 284472 337152 379296 385442 505728 568944 578163 758592 770884 1011456 1137888 1156326 1517184 1541768 1734489 2275776 2312652 3034368 3083536 3468978 4551552 4625304 5203467 6167072 6937956 9103104 9250608 10406934 12334144 13875912 15610401 18501216 20813868 24668288 27751824 31220802 37002432 41627736 49336576 55503648 62441604 74004864 83255472 111007296 124883208 148009728 166510944 222014592 249766416 333021888 444029184 499532832 666043776 999065664 1332087552 1998131328 3996262656