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3850272 = 253229461
BaseRepresentation
bin1110101100000000100000
321020121120200
432230000200
51441202042
6214305200
744504166
oct16540040
97217520
103850272
11219a848
121358200
13a4a68a
14723236
15510c4c
hex3ac020

3850272 has 72 divisors (see below), whose sum is σ = 11351340. Its totient is φ = 1236480.

The previous prime is 3850271. The next prime is 3850277. The reversal of 3850272 is 2720583.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 24336 = 1956^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3850271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8122 + ... + 8582.

Almost surely, 23850272 is an apocalyptic number.

3850272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3850272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675670).

3850272 is an abundant number, since it is smaller than the sum of its proper divisors (7501068).

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

3850272 is a wasteful number, since it uses less digits than its factorization.

3850272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 495 counting only the distinct ones).

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

The square root of 3850272 is about 1962.2109978287. The cubic root of 3850272 is about 156.7342116070.

The spelling of 3850272 in words is "three million, eight hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 461 464 522 696 922 928 1044 1383 1392 1844 2088 2766 2784 3688 4149 4176 5532 7376 8298 8352 11064 13369 14752 16596 22128 26738 33192 40107 44256 53476 66384 80214 106952 120321 132768 160428 213904 240642 320856 427808 481284 641712 962568 1283424 1925136 3850272