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3722985 = 325753223
BaseRepresentation
bin1110001100111011101001
321000010222100
432030323221
51423113420
6211444013
743434120
oct16147351
97003870
103722985
112113152
1212b6609
13a04766
146ccab7
154d8190
hex38cee9

3722985 has 48 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 1662336.

The previous prime is 3722951. The next prime is 3723001. The reversal of 3722985 is 5892273.

It is a happy number.

It is not a de Polignac number, because 3722985 - 26 = 3722921 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16584 + ... + 16806.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 23722985 is an apocalyptic number.

3722985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3722985 is an abundant number, since it is smaller than the sum of its proper divisors (3824919).

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

3722985 is a wasteful number, since it uses less digits than its factorization.

3722985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 291 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 3722985 is about 1929.5038222300. The cubic root of 3722985 is about 154.9876507678.

The spelling of 3722985 in words is "three million, seven hundred twenty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 223 265 315 371 477 669 795 1113 1115 1561 1855 2007 2385 3339 3345 4683 5565 7805 10035 11819 14049 16695 23415 35457 59095 70245 82733 106371 177285 248199 413665 531855 744597 1240995 3722985