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8193152 = 27112232
BaseRepresentation
bin11111010000010010000000
3120102020220002
4133100102000
54044140102
6451335132
7126432512
oct37202200
916366802
108193152
114696700
1228b14a8
13190b326
141133bb2
15abc902
hex7d0480

8193152 has 72 divisors (see below), whose sum is σ = 18754995. Its totient is φ = 3562240.

The previous prime is 8193139. The next prime is 8193173. The reversal of 8193152 is 2513918.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4096576 + 4096576 = 2024^2 + 2024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2024.

It is a Duffinian number.

Its product of digits (2160) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 356213 + ... + 356235.

Almost surely, 28193152 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 8193152

8193152 is an abundant number, since it is smaller than the sum of its proper divisors (10561843).

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

8193152 is a wasteful number, since it uses less digits than its factorization.

8193152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 8193152 is about 2862.3682502431. The cubic root of 8193152 is about 201.5968169481.

The spelling of 8193152 in words is "eight million, one hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 121 128 176 184 242 253 352 368 484 506 529 704 736 968 1012 1058 1408 1472 1936 2024 2116 2783 2944 3872 4048 4232 5566 5819 7744 8096 8464 11132 11638 15488 16192 16928 22264 23276 32384 33856 44528 46552 64009 67712 89056 93104 128018 178112 186208 256036 356224 372416 512072 744832 1024144 2048288 4096576 8193152