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8423272 = 23111337199
BaseRepresentation
bin100000001000…
…011101101000
3120211221120001
4200020131220
54124021042
6500312344
7131411434
oct40103550
916757501
108423272
114833590
1229a26b4
13198bcb0
1411939c4
15b15bb7
hex808768

8423272 has 64 divisors (see below), whose sum is σ = 19152000. Its totient is φ = 3421440.

The previous prime is 8423269. The next prime is 8423281. The reversal of 8423272 is 2723248.

It is a super-2 number, since 2×84232722 = 141903022371968, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8 + 45 + 27 + 36 + 215 + 7 + 223 .

It is a self number, because there is not a number n which added to its sum of digits gives 8423272.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42229 + ... + 42427.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 28423272 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 8423272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576000).

8423272 is an abundant number, since it is smaller than the sum of its proper divisors (10728728).

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

8423272 is a wasteful number, since it uses less digits than its factorization.

8423272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 8423272 is about 2902.2873737795. The cubic root of 8423272 is about 203.4668250589.

It can be divided in two parts, 842 and 3272, that added together give a palindrome (4114).

The spelling of 8423272 in words is "eight million, four hundred twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 143 148 199 286 296 398 407 481 572 796 814 962 1144 1592 1628 1924 2189 2587 3256 3848 4378 5174 5291 7363 8756 10348 10582 14726 17512 20696 21164 28457 29452 42328 56914 58904 80993 95719 113828 161986 191438 227656 323972 382876 647944 765752 1052909 2105818 4211636 8423272