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2628861352 = 2313891911487
BaseRepresentation
bin1001110010110001…
…0011110110101000
320210012122222211021
42130230103312220
520340442030402
61112505342224
7122100644545
oct23454236650
96705588737
102628861352
111129a18497
12614497974
1332b839880
141ad1d5bcc
15105bd1d37
hex9cb13da8

2628861352 has 64 divisors (see below), whose sum is σ = 5399654400. Its totient is φ = 1192604160.

The previous prime is 2628861343. The next prime is 2628861377. The reversal of 2628861352 is 2531688262.

2628861352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2628861299 and 2628861308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767153 + ... + 1768639.

It is an arithmetic number, because the mean of its divisors is an integer number (84369600).

Almost surely, 22628861352 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 2628861352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

2628861352 is an abundant number, since it is smaller than the sum of its proper divisors (2770793048).

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

2628861352 is a wasteful number, since it uses less digits than its factorization.

2628861352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1782 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 2628861352 is about 51272.4229191483. The cubic root of 2628861352 is about 1380.1381490207.

The spelling of 2628861352 in words is "two billion, six hundred twenty-eight million, eight hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 89 104 178 191 356 382 712 764 1157 1487 1528 2314 2483 2974 4628 4966 5948 9256 9932 11896 16999 19331 19864 33998 38662 67996 77324 132343 135992 154648 220987 264686 284017 441974 529372 568034 883948 1058744 1136068 1720459 1767896 2272136 3440918 3692221 6881836 7384442 13763672 14768884 25277513 29537768 50555026 101110052 202220104 328607669 657215338 1314430676 2628861352