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1364538208 = 2511712769
BaseRepresentation
bin101000101010101…
…0011001101100000
310112002121201112011
41101111103031200
510243310210313
6343222442304
745546245335
oct12125231540
93462551464
101364538208
11640278830
12320b93394
13189913777
14cd32098c
157ebdc93d
hex51553360

1364538208 has 72 divisors (see below), whose sum is σ = 2976379560. Its totient is φ = 610713600.

The previous prime is 1364538187. The next prime is 1364538223. The reversal of 1364538208 is 8028354631.

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 11 ways as a sum of consecutive naturals, for example, 1774048 + ... + 1774816.

It is an arithmetic number, because the mean of its divisors is an integer number (41338605).

Almost surely, 21364538208 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 1364538208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488189780).

1364538208 is an abundant number, since it is smaller than the sum of its proper divisors (1611841352).

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

1364538208 is an equidigital number, since it uses as much as digits as its factorization.

1364538208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 1364538208 is about 36939.6563059268. The cubic root of 1364538208 is about 1109.1626420194.

The spelling of 1364538208 in words is "one billion, three hundred sixty-four million, five hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 769 781 1136 1538 1562 2272 3076 3124 5041 6152 6248 8459 10082 12304 12496 16918 20164 24608 24992 33836 40328 54599 55451 67672 80656 109198 110902 135344 161312 218396 221804 270688 436792 443608 600589 873584 887216 1201178 1747168 1774432 2402356 3876529 4804712 7753058 9609424 15506116 19218848 31012232 42641819 62024464 85283638 124048928 170567276 341134552 682269104 1364538208