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3668202828 = 223397487719
BaseRepresentation
bin1101101010100100…
…0101010101001100
3100110122101000022000
43122221011111030
530003024442303
61403554152300
7156621131613
oct33251052514
910418330260
103668202828
111612672094
12864582690
13465c6c924
1426b26487a
15167084da3
hexdaa4554c

3668202828 has 96 divisors (see below), whose sum is σ = 9641318400. Its totient is φ = 1205964288.

The previous prime is 3668202827. The next prime is 3668202841. The reversal of 3668202828 is 8282028663.

3668202828 is a `hidden beast` number, since 366 + 8 + 2 + 0 + 282 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3668202823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5101453 + ... + 5102171.

It is an arithmetic number, because the mean of its divisors is an integer number (100430400).

Almost surely, 23668202828 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 3668202828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820659200).

3668202828 is an abundant number, since it is smaller than the sum of its proper divisors (5973115572).

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

3668202828 is a wasteful number, since it uses less digits than its factorization.

3668202828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 3668202828 is about 60565.6901884227. The cubic root of 3668202828 is about 1542.2369845764.

The spelling of 3668202828 in words is "three billion, six hundred sixty-eight million, two hundred two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 487 582 719 873 974 1164 1438 1461 1746 1948 2157 2619 2876 2922 3492 4314 4383 5238 5844 6471 8628 8766 10476 12942 13149 17532 19413 25884 26298 38826 47239 52596 69743 77652 94478 139486 141717 188956 209229 278972 283434 350153 418458 425151 566868 627687 700306 836916 850302 1050459 1255374 1275453 1400612 1700604 1883061 2100918 2510748 2550906 3151377 3766122 4201836 5101812 6302754 7532244 9454131 12605508 18908262 33964841 37816524 67929682 101894523 135859364 203789046 305683569 407578092 611367138 917050707 1222734276 1834101414 3668202828