Search a number
-
+
3976227426304 = 2127244512
BaseRepresentation
bin111001110111001001100…
…111111001000000000000
3112002010100010101211110201
4321313021213321000000
51010121303210120204
612242353105134544
7560162423316100
oct71671147710000
915063303354421
103976227426304
1112a33437a4151
1254275262a454
1322ac5896a093
14da643dc5200
156d66de3e9a4
hex39dc99f9000

3976227426304 has 117 divisors (see below), whose sum is σ = 9251764159611. Its totient is φ = 1703714611200.

The previous prime is 3976227426293. The next prime is 3976227426307. The reversal of 3976227426304 is 4036247226793.

It is a happy number.

The square root of 3976227426304 is 1994048.

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

It is a super-2 number, since 2×39762274263042 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3976227426307) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 893331279 + ... + 893335729.

Almost surely, 23976227426304 is an apocalyptic number.

3976227426304 is the 1994048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3976227426304

3976227426304 is an abundant number, since it is smaller than the sum of its proper divisors (5275536733307).

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

3976227426304 is an frugal number, since it uses more digits than its factorization.

3976227426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 55.

The spelling of 3976227426304 in words is "three trillion, nine hundred seventy-six billion, two hundred twenty-seven million, four hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 4451 6272 7168 8902 12544 14336 17804 25088 28672 31157 35608 50176 62314 71216 100352 124628 142432 200704 218099 249256 284864 436198 498512 569728 872396 997024 1139456 1744792 1994048 2278912 3489584 3988096 4557824 6979168 7976192 9115648 13958336 15952384 18231296 19811401 27916672 31904768 39622802 55833344 63809536 79245604 111666688 127619072 138679807 158491208 223333376 277359614 316982416 446666752 554719228 633964832 893333504 970758649 1109438456 1267929664 1941517298 2218876912 2535859328 3883034596 4437753824 5071718656 7766069192 8875507648 10143437312 15532138384 17751015296 20286874624 31064276768 35502030592 40573749248 62128553536 71004061184 81147498496 124257107072 142008122368 248514214144 284016244736 497028428288 568032489472 994056856576 1988113713152 3976227426304