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3688150482 = 23518141927
BaseRepresentation
bin1101101111010100…
…1011010111010010
3100112000220110100000
43123311023113102
530023131303412
61405545510430
7160252522212
oct33365132722
910460813300
103688150482
111622957055
1286b1a2416
1346a135283
1426db78242
15168bc54dc
hexdbd4b5d2

3688150482 has 48 divisors (see below), whose sum is σ = 8332938432. Its totient is φ = 1222562160.

The previous prime is 3688150481. The next prime is 3688150483. The reversal of 3688150482 is 2840518863.

3688150482 is a `hidden beast` number, since 3 + 68 + 8 + 1 + 504 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (3688150481) and next prime (3688150483).

It is not an unprimeable number, because it can be changed into a prime (3688150481) 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 23 ways as a sum of consecutive naturals, for example, 67003 + ... + 108929.

It is an arithmetic number, because the mean of its divisors is an integer number (173602884).

Almost surely, 23688150482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688150482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166469216).

3688150482 is an abundant number, since it is smaller than the sum of its proper divisors (4644787950).

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

3688150482 is a wasteful number, since it uses less digits than its factorization.

3688150482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42125 (or 42113 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3688150482 is about 60730.1447553025. The cubic root of 3688150482 is about 1545.0274893780.

The spelling of 3688150482 in words is "three billion, six hundred eighty-eight million, one hundred fifty thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 181 243 362 486 543 1086 1629 3258 4887 9774 14661 29322 41927 43983 83854 87966 125781 251562 377343 754686 1132029 2264058 3396087 6792174 7588787 10188261 15177574 20376522 22766361 45532722 68299083 136598166 204897249 409794498 614691747 1229383494 1844075241 3688150482