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8522272 = 251123171
BaseRepresentation
bin100000100000…
…101000100000
3121000222100201
4200200220200
54140203042
6502354544
7132303163
oct40405040
917028321
108522272
1148a0a00
122a2ba54
1319c5085
1411bbada
15b351b7
hex820a20

8522272 has 72 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 3696000.

The previous prime is 8522251. The next prime is 8522281. The reversal of 8522272 is 2722258.

It is a d-powerful number, because it can be written as 82 + 53 + 2 + 217 + 222 + 74 + 222 .

It is a self number, because there is not a number n which added to its sum of digits gives 8522272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119997 + ... + 120067.

It is an arithmetic number, because the mean of its divisors is an integer number (268128).

Almost surely, 28522272 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 8522272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652608).

8522272 is an abundant number, since it is smaller than the sum of its proper divisors (10782944).

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

8522272 is a wasteful number, since it uses less digits than its factorization.

8522272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 8522272 is about 2919.2930651101. The cubic root of 8522272 is about 204.2608479172.

The spelling of 8522272 in words is "eight million, five hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 71 88 121 124 142 176 242 248 284 341 352 484 496 568 682 781 968 992 1136 1364 1562 1936 2201 2272 2728 3124 3751 3872 4402 5456 6248 7502 8591 8804 10912 12496 15004 17182 17608 24211 24992 30008 34364 35216 48422 60016 68728 70432 96844 120032 137456 193688 266321 274912 387376 532642 774752 1065284 2130568 4261136 8522272