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8272352 = 251171331
BaseRepresentation
bin11111100011100111100000
3120120021112102
4133203213200
54104203402
6453145532
7130212434
oct37434740
916507472
108272352
114740160
12292b2a8
1319383aa
1411549c4
15ad6102
hex7e39e0

8272352 has 48 divisors (see below), whose sum is σ = 18071424. Its totient is φ = 3696000.

The previous prime is 8272351. The next prime is 8272357. The reversal of 8272352 is 2532728.

It is a super-2 number, since 2×82723522 = 136863615223808, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272351) 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 7 ways as a sum of consecutive naturals, for example, 24827 + ... + 25157.

It is an arithmetic number, because the mean of its divisors is an integer number (376488).

Almost surely, 28272352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035712).

8272352 is an abundant number, since it is smaller than the sum of its proper divisors (9799072).

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

8272352 is a wasteful number, since it uses less digits than its factorization.

8272352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 8272352 is about 2876.1696751061. The cubic root of 8272352 is about 202.2443209133.

The spelling of 8272352 in words is "eight million, two hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 331 352 568 662 781 1136 1324 1562 2272 2648 3124 3641 5296 6248 7282 10592 12496 14564 23501 24992 29128 47002 58256 94004 116512 188008 258511 376016 517022 752032 1034044 2068088 4136176 8272352