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8542752 = 253235373
BaseRepresentation
bin100000100101…
…101000100000
3121002000110020
4200211220200
54141332002
6503033440
7132416661
oct40455040
917060406
108542752
114905329
122a3b880
131a014aa
1411c5368
15b3b2bc
hex825a20

8542752 has 96 divisors (see below), whose sum is σ = 24167808. Its totient is φ = 2635776.

The previous prime is 8542747. The next prime is 8542769. The reversal of 8542752 is 2572458.

8542752 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×85427522 = 145957223467008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116988 + ... + 117060.

It is an arithmetic number, because the mean of its divisors is an integer number (251748).

Almost surely, 28542752 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 8542752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12083904).

8542752 is an abundant number, since it is smaller than the sum of its proper divisors (15625056).

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

8542752 is a wasteful number, since it uses less digits than its factorization.

8542752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 8542752 is about 2922.7986588200. The cubic root of 8542752 is about 204.4243377972.

The spelling of 8542752 in words is "eight million, five hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 73 92 96 106 138 146 159 184 212 219 276 292 318 368 424 438 552 584 636 736 848 876 1104 1168 1219 1272 1679 1696 1752 2208 2336 2438 2544 3358 3504 3657 3869 4876 5037 5088 6716 7008 7314 7738 9752 10074 11607 13432 14628 15476 19504 20148 23214 26864 29256 30952 39008 40296 46428 53728 58512 61904 80592 88987 92856 117024 123808 161184 177974 185712 266961 355948 371424 533922 711896 1067844 1423792 2135688 2847584 4271376 8542752