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2008836921 = 3713219313
BaseRepresentation
bin111011110111100…
…0110101100111001
312011222222111012110
41313233012230321
513103230240141
6531200202533
7100531555260
oct16757065471
95158874173
102008836921
11940a32a03
12480909449
1326024c700
14150b195d7
15bb55ae16
hex77bc6b39

2008836921 has 96 divisors (see below), whose sum is σ = 3605422080. Its totient is φ = 971455680.

The previous prime is 2008836919. The next prime is 2008836937. The reversal of 2008836921 is 1296388002.

It is a happy number.

It is not a de Polignac number, because 2008836921 - 21 = 2008836919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2008836921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008836911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64801176 + ... + 64801206.

It is an arithmetic number, because the mean of its divisors is an integer number (37556480).

Almost surely, 22008836921 is an apocalyptic number.

2008836921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2008836921 is a deficient number, since it is larger than the sum of its proper divisors (1596585159).

2008836921 is an equidigital number, since it uses as much as digits as its factorization.

2008836921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2008836921 is about 44820.0504350453. The cubic root of 2008836921 is about 1261.7739606948.

The spelling of 2008836921 in words is "two billion, eight million, eight hundred thirty-six thousand, nine hundred twenty-one".

Divisors: 1 3 7 13 19 21 31 39 57 91 93 133 169 217 247 273 399 403 507 589 651 741 961 1183 1209 1729 1767 2821 2883 3211 3549 4123 5187 5239 6727 7657 8463 9633 12369 12493 15717 18259 20181 22477 22971 29791 36673 37479 53599 54777 67431 87451 89373 99541 110019 127813 160797 162409 208537 237367 262353 298623 383439 387283 487227 566029 625611 696787 712101 1136863 1161849 1661569 1698087 2090361 2710981 3085771 3410589 3962203 4984707 5034679 7358377 8132943 9257313 11886609 15104037 21600397 22075131 35242753 51508639 64801191 95658901 105728259 154525917 286976703 669612307 2008836921