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10828377 = 337234753
BaseRepresentation
bin101001010011…
…101001011001
3202101010202000
4221103221121
510233002002
61024031213
7161016420
oct51235131
922333660
1010828377
11612657a
123762509
132321931
14161c2b7
15e3d61c
hexa53a59

10828377 has 64 divisors (see below), whose sum is σ = 19906560. Its totient is φ = 5683392.

The previous prime is 10828369. The next prime is 10828379. The reversal of 10828377 is 77382801.

10828377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10828377 - 23 = 10828369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10828379) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204283 + ... + 204335.

It is an arithmetic number, because the mean of its divisors is an integer number (311040).

Almost surely, 210828377 is an apocalyptic number.

It is an amenable number.

10828377 is a deficient number, since it is larger than the sum of its proper divisors (9078183).

10828377 is a wasteful number, since it uses less digits than its factorization.

10828377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 10828377 is about 3290.6499358030. The cubic root of 10828377 is about 221.2353164630.

The spelling of 10828377 in words is "ten million, eight hundred twenty-eight thousand, three hundred seventy-seven".

Divisors: 1 3 7 9 21 23 27 47 53 63 69 141 159 161 189 207 329 371 423 477 483 621 987 1081 1113 1219 1269 1431 1449 2491 2961 3243 3339 3657 4347 7473 7567 8533 8883 9729 10017 10971 17437 22419 22701 25599 29187 32913 52311 57293 67257 68103 76797 156933 171879 204309 230391 401051 470799 515637 1203153 1546911 3609459 10828377