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828692964 = 223311697553
BaseRepresentation
bin110001011001001…
…101100111100100
32010202022222001000
4301121031213210
53144121133324
6214121433300
726351526321
oct6131154744
92122288030
10828692964
11395859320
121b163b830
131028bac88
147c0b7b48
154cb439c9
hex3164d9e4

828692964 has 48 divisors (see below), whose sum is σ = 2343781440. Its totient is φ = 251118720.

The previous prime is 828692957. The next prime is 828692971. The reversal of 828692964 is 469296828.

It is a happy number.

828692964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828692957) and next prime (828692971).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 828692964.

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, 347589 + ... + 349964.

It is an arithmetic number, because the mean of its divisors is an integer number (48828780).

Almost surely, 2828692964 is an apocalyptic number.

It is an amenable number.

828692964 is an abundant number, since it is smaller than the sum of its proper divisors (1515088476).

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

828692964 is a wasteful number, since it uses less digits than its factorization.

828692964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697577 (or 697569 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 828692964 is about 28787.0277034639. The cubic root of 828692964 is about 939.2860747851.

The spelling of 828692964 in words is "eight hundred twenty-eight million, six hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 697553 1395106 2092659 2790212 4185318 6277977 7673083 8370636 12555954 15346166 18833931 23019249 25111908 30692332 37667862 46038498 69057747 75335724 92076996 138115494 207173241 276230988 414346482 828692964