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3638938248 = 2332114594619
BaseRepresentation
bin1101100011100101…
…1100101010001000
3100101121022012211200
43120321130222020
524423032010443
61401031024200
7156114315261
oct33071345210
910347265750
103638938248
1115a80a4190
1285680b060
1345cb945ca
14267407968
15164703dd3
hexd8e5ca88

3638938248 has 48 divisors (see below), whose sum is σ = 10751410800. Its totient is φ = 1102708320.

The previous prime is 3638938229. The next prime is 3638938249. The reversal of 3638938248 is 8428398363.

It is a happy number.

3638938248 is a `hidden beast` number, since 363 + 8 + 9 + 38 + 248 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3638938194 and 3638938203.

It is not an unprimeable number, because it can be changed into a prime (3638938249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2296518 + ... + 2298101.

It is an arithmetic number, because the mean of its divisors is an integer number (223987725).

Almost surely, 23638938248 is an apocalyptic number.

It is an amenable number.

3638938248 is an abundant number, since it is smaller than the sum of its proper divisors (7112472552).

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

3638938248 is a wasteful number, since it uses less digits than its factorization.

3638938248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594642 (or 4594635 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3638938248 is about 60323.6126902227. The cubic root of 3638938248 is about 1538.1247551815.

The spelling of 3638938248 in words is "three billion, six hundred thirty-eight million, nine hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4594619 9189238 13783857 18378476 27567714 36756952 41351571 50540809 55135428 82703142 101081618 110270856 151622427 165406284 202163236 303244854 330812568 404326472 454867281 606489708 909734562 1212979416 1819469124 3638938248