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3921225 = 352721197
BaseRepresentation
bin1110111101010101001001
321101012220120
432331111021
52000434400
6220013453
745221100
oct16752511
97335816
103921225
112239090
121391289
13a73a69
14741037
15526ca0
hex3bd549

3921225 has 72 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1612800.

The previous prime is 3921217. The next prime is 3921227. The reversal of 3921225 is 5221293.

3921225 is a nontrivial binomial coefficient, being equal to C(100, 4).

It is not a de Polignac number, because 3921225 - 23 = 3921217 is a prime.

Its product of digits (1080) is a multiple of the sum of its prime factors (135).

It is a Curzon number.

3921225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3921195 and 3921204.

It is not an unprimeable number, because it can be changed into a prime (3921227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40377 + ... + 40473.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 23921225 is an apocalyptic number.

3921225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3921225 is the 1617-th pentagonal number.

It is an amenable number.

3921225 is an abundant number, since it is smaller than the sum of its proper divisors (4390743).

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

3921225 is a wasteful number, since it uses less digits than its factorization.

3921225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 3921225 is about 1980.2083223742. The cubic root of 3921225 is about 157.6911259998.

The spelling of 3921225 in words is "three million, nine hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 97 105 147 165 175 231 245 275 291 385 485 525 539 679 735 825 1067 1155 1225 1455 1617 1925 2037 2425 2695 3201 3395 3675 4753 5335 5775 7275 7469 8085 10185 13475 14259 16005 16975 22407 23765 26675 37345 40425 50925 52283 71295 80025 112035 118825 156849 186725 261415 356475 560175 784245 1307075 3921225