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3800475 = 3252719127
BaseRepresentation
bin1110011111110110011011
321011002021100
432133312123
51433103400
6213242443
744206050
oct16376633
97132240
103800475
112166398
121333423
13a30b03
1470d027
15501100
hex39fd9b

3800475 has 72 divisors (see below), whose sum is σ = 8253440. Its totient is φ = 1632960.

The previous prime is 3800473. The next prime is 3800477. The reversal of 3800475 is 5740083.

It is an interprime number because it is at equal distance from previous prime (3800473) and next prime (3800477).

It is not a de Polignac number, because 3800475 - 21 = 3800473 is a prime.

It is a super-2 number, since 2×38004752 = 28887220451250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3800473) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29862 + ... + 29988.

Almost surely, 23800475 is an apocalyptic number.

3800475 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3800475 is an abundant number, since it is smaller than the sum of its proper divisors (4452965).

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

3800475 is a wasteful number, since it uses less digits than its factorization.

3800475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3800475 is about 1949.4807000840. The cubic root of 3800475 is about 156.0555768447.

The spelling of 3800475 in words is "three million, eight hundred thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 127 133 171 175 225 285 315 381 399 475 525 635 665 855 889 1143 1197 1425 1575 1905 1995 2413 2667 3175 3325 4275 4445 5715 5985 7239 8001 9525 9975 12065 13335 16891 21717 22225 28575 29925 36195 40005 50673 60325 66675 84455 108585 152019 180975 200025 253365 422275 542925 760095 1266825 3800475