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2628860208 = 2431329532741
BaseRepresentation
bin1001110010110001…
…0011100100110000
320210012122221020220
42130230103210300
520340442011313
61112505333040
7122100641322
oct23454234460
96705587226
102628860208
111129a17647
12614497180
1332b8391b0
141ad1d5612
15105bd1823
hex9cb13930

2628860208 has 160 divisors (see below), whose sum is σ = 7711381440. Its totient is φ = 765972480.

The previous prime is 2628860207. The next prime is 2628860293. The reversal of 2628860208 is 8020688262.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2628860208.

It is not an unprimeable number, because it can be changed into a prime (2628860207) 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, 957718 + ... + 960458.

It is an arithmetic number, because the mean of its divisors is an integer number (48196134).

Almost surely, 22628860208 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 2628860208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855690720).

2628860208 is an abundant number, since it is smaller than the sum of its proper divisors (5082521232).

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

2628860208 is a wasteful number, since it uses less digits than its factorization.

2628860208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2628860208 is about 51272.4117630525. The cubic root of 2628860208 is about 1380.1379488227.

The spelling of 2628860208 in words is "two billion, six hundred twenty-eight million, eight hundred sixty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 53 58 78 87 104 106 116 156 159 174 208 212 232 312 318 348 377 424 464 624 636 689 696 754 848 1131 1272 1378 1392 1508 1537 2067 2262 2544 2741 2756 3016 3074 4134 4524 4611 5482 5512 6032 6148 8223 8268 9048 9222 10964 11024 12296 16446 16536 18096 18444 19981 21928 24592 32892 33072 35633 36888 39962 43856 59943 65784 71266 73776 79489 79924 106899 119886 131568 142532 145273 158978 159848 213798 238467 239772 285064 290546 317956 319696 427596 435819 476934 479544 570128 581092 635912 855192 871638 953868 959088 1033357 1162184 1271824 1710384 1743276 1888549 1907736 2066714 2324368 3100071 3486552 3777098 3815472 4133428 4212917 5665647 6200142 6973104 7554196 8266856 8425834 11331294 12400284 12638751 15108392 16533712 16851668 22662588 24800568 25277502 30216784 33703336 45325176 49601136 50555004 54767921 67406672 90650352 101110008 109535842 164303763 202220016 219071684 328607526 438143368 657215052 876286736 1314430104 2628860208