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3628905 = 3571719107
BaseRepresentation
bin1101110101111101101001
320211100220220
431311331221
51412111110
6205440253
742562620
oct15657551
96740826
103628905
1120594a5
121270089
139a09a7
146a66b7
154ba370
hex375f69

3628905 has 64 divisors (see below), whose sum is σ = 7464960. Its totient is φ = 1465344.

The previous prime is 3628897. The next prime is 3628927. The reversal of 3628905 is 5098263.

It is a happy number.

It is not a de Polignac number, because 3628905 - 23 = 3628897 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33862 + ... + 33968.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

Almost surely, 23628905 is an apocalyptic number.

3628905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3628905 is an abundant number, since it is smaller than the sum of its proper divisors (3836055).

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

3628905 is a wasteful number, since it uses less digits than its factorization.

3628905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3628905 is about 1904.9685036766. The cubic root of 3628905 is about 153.6709819360.

The spelling of 3628905 in words is "three million, six hundred twenty-eight thousand, nine hundred five".

Divisors: 1 3 5 7 15 17 19 21 35 51 57 85 95 105 107 119 133 255 285 321 323 357 399 535 595 665 749 969 1605 1615 1785 1819 1995 2033 2247 2261 3745 4845 5457 6099 6783 9095 10165 11235 11305 12733 14231 27285 30495 33915 34561 38199 42693 63665 71155 103683 172805 190995 213465 241927 518415 725781 1209635 3628905