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4026663936 = 210326612
BaseRepresentation
bin1111000000000010…
…0000010000000000
3101101121212201111100
43300000200100000
531221311221221
61503321214400
7201533036001
oct36000402000
911347781440
104026663936
111786a46239
12944631400
134c22c90a9
142a2ad51a8
15188790926
hexf0020400

4026663936 has 99 divisors (see below), whose sum is σ = 11644521213. Its totient is φ = 1340190720.

The previous prime is 4026663929. The next prime is 4026663943. The reversal of 4026663936 is 6393666204.

It is a happy number.

The square root of 4026663936 is 63456.

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

It is an interprime number because it is at equal distance from previous prime (4026663929) and next prime (4026663943).

It can be written as a sum of positive squares in only one way, i.e., 3197223936 + 829440000 = 56544^2 + 28800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4026663891 and 4026663900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6091446 + ... + 6092106.

Almost surely, 24026663936 is an apocalyptic number.

4026663936 is the 63456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4026663936

4026663936 is an abundant number, since it is smaller than the sum of its proper divisors (7617857277).

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

4026663936 is an frugal number, since it uses more digits than its factorization.

4026663936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The cubic root of 4026663936 is about 1590.9204401235.

The spelling of 4026663936 in words is "four billion, twenty-six million, six hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 661 768 1024 1152 1322 1536 1983 2304 2644 3072 3966 4608 5288 5949 7932 9216 10576 11898 15864 21152 23796 31728 42304 47592 63456 84608 95184 126912 169216 190368 253824 338432 380736 436921 507648 676864 761472 873842 1015296 1310763 1522944 1747684 2030592 2621526 3045888 3495368 3932289 5243052 6091776 6990736 7864578 10486104 13981472 15729156 20972208 27962944 31458312 41944416 55925888 62916624 83888832 111851776 125833248 167777664 223703552 251666496 335555328 447407104 503332992 671110656 1006665984 1342221312 2013331968 4026663936