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8528000833 = 1137591312711
BaseRepresentation
bin1111111000100111…
…01111011101000001
3211000022221022212201
413330103233131001
5114431132011313
63530120353201
7421221545122
oct77423573501
924008838781
108528000833
11368691a280
1217a0015801
13a5ba50251
145ac86c049
1534da450dd
hex1fc4ef741

8528000833 has 32 divisors (see below), whose sum is σ = 9794442240. Its totient is φ = 7356024000.

The previous prime is 8528000809. The next prime is 8528000837. The reversal of 8528000833 is 3380008258.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 8528000833 - 29 = 8528000321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 8528000792 and 8528000801.

It is not an unprimeable number, because it can be changed into a prime (8528000837) 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, 3144348 + ... + 3147058.

It is an arithmetic number, because the mean of its divisors is an integer number (306076320).

Almost surely, 28528000833 is an apocalyptic number.

8528000833 is the 53317-th octagonal number.

It is an amenable number.

8528000833 is a deficient number, since it is larger than the sum of its proper divisors (1266441407).

8528000833 is a wasteful number, since it uses less digits than its factorization.

8528000833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 8528000833 is about 92347.1755550759. The cubic root of 8528000833 is about 2043.0660700507.

The spelling of 8528000833 in words is "eight billion, five hundred twenty-eight million, eight hundred thirty-three", and thus it is an aban number.

Divisors: 1 11 37 59 131 407 649 1441 2183 2711 4847 7729 24013 29821 53317 85019 100307 159949 285973 355141 1103377 1759439 3145703 3906551 5918113 13140217 20953319 65099243 144542387 230486509 775272803 8528000833