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8364272 = 2471723191
BaseRepresentation
bin11111111010000011110000
3120201221121212
4133322003300
54120124042
6455135252
7131044430
oct37720360
916657555
108364272
1147a3224
122974528
13196b197
14117a2c0
15b03482
hex7fa0f0

8364272 has 80 divisors (see below), whose sum is σ = 20570112. Its totient is φ = 3210240.

The previous prime is 8364247. The next prime is 8364281. The reversal of 8364272 is 2724638.

It is a super-2 number, since 2×83642722 = 139922092179968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43697 + ... + 43887.

Almost surely, 28364272 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 8364272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285056).

8364272 is an abundant number, since it is smaller than the sum of its proper divisors (12205840).

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

8364272 is a wasteful number, since it uses less digits than its factorization.

8364272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 8364272 is about 2892.1051156554. The cubic root of 8364272 is about 202.9906569507.

The spelling of 8364272 in words is "eight million, three hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 191 238 272 322 368 382 391 476 644 764 782 952 1288 1337 1528 1564 1904 2576 2674 2737 3056 3128 3247 4393 5348 5474 6256 6494 8786 10696 10948 12988 17572 21392 21896 22729 25976 30751 35144 43792 45458 51952 61502 70288 74681 90916 123004 149362 181832 246008 298724 363664 492016 522767 597448 1045534 1194896 2091068 4182136 8364272