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8238272 = 26723771
BaseRepresentation
bin11111011011010011000000
3120111112210012
4133123103000
54102111042
6452324052
7130011200
oct37332300
916445705
108238272
114717599
122913628
131925a23
141146400
15acae82
hex7db4c0

8238272 has 84 divisors (see below), whose sum is σ = 19805904. Its totient is φ = 3386880.

The previous prime is 8238247. The next prime is 8238283. The reversal of 8238272 is 2728328.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115997 + ... + 116067.

Almost surely, 28238272 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 8238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9902952).

8238272 is an abundant number, since it is smaller than the sum of its proper divisors (11567632).

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

8238272 is a wasteful number, since it uses less digits than its factorization.

8238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 8238272 is about 2870.2390144376. The cubic root of 8238272 is about 201.9662068098.

The spelling of 8238272 in words is "eight million, two hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 71 74 98 112 142 148 196 224 259 284 296 392 448 497 518 568 592 784 994 1036 1136 1184 1568 1813 1988 2072 2272 2368 2627 3136 3479 3626 3976 4144 4544 5254 6958 7252 7952 8288 10508 13916 14504 15904 16576 18389 21016 27832 29008 31808 36778 42032 55664 58016 73556 84064 111328 116032 128723 147112 168128 222656 257446 294224 514892 588448 1029784 1176896 2059568 4119136 8238272