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172002828 = 223291732857
BaseRepresentation
bin10100100000010…
…00111000001100
3102222122122112010
422100020320030
5323013042303
625022341220
74155666654
oct1220107014
9388578463
10172002828
11891002a8
124972a810
1329833b2a
1418bb5364
1510178c03
hexa408e0c

172002828 has 48 divisors (see below), whose sum is σ = 417725280. Its totient is φ = 55017984.

The previous prime is 172002811. The next prime is 172002833. The reversal of 172002828 is 828200271.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 172002795 and 172002804.

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, 58776 + ... + 61632.

It is an arithmetic number, because the mean of its divisors is an integer number (8702610).

Almost surely, 2172002828 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 172002828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208862640).

172002828 is an abundant number, since it is smaller than the sum of its proper divisors (245722452).

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

172002828 is a wasteful number, since it uses less digits than its factorization.

172002828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 172002828 is about 13114.9848646501. The cubic root of 172002828 is about 556.1328245715.

The spelling of 172002828 in words is "one hundred seventy-two million, two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 173 174 346 348 519 692 1038 2076 2857 5017 5714 8571 10034 11428 15051 17142 20068 30102 34284 60204 82853 165706 248559 331412 494261 497118 988522 994236 1482783 1977044 2965566 5931132 14333569 28667138 43000707 57334276 86001414 172002828