Search a number
-
+
8185056 = 2531123337
BaseRepresentation
bin11111001110010011100000
3120101211210020
4133032103200
54043410211
6451233440
7126400065
oct37162340
916354706
108185056
114690610
1228a8880
131907739
141130c6c
15aba306
hex7ce4e0

8185056 has 96 divisors (see below), whose sum is σ = 24530688. Its totient is φ = 2365440.

The previous prime is 8185049. The next prime is 8185061. The reversal of 8185056 is 6505818.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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, 24120 + ... + 24456.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 28185056 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 8185056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265344).

8185056 is an abundant number, since it is smaller than the sum of its proper divisors (16345632).

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

8185056 is a wasteful number, since it uses less digits than its factorization.

8185056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 8185056 is about 2860.9536871470. The cubic root of 8185056 is about 201.5303929509.

The spelling of 8185056 in words is "eight million, one hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 337 352 368 506 528 552 674 736 759 1011 1012 1056 1104 1348 1518 2022 2024 2208 2696 3036 3707 4044 4048 5392 6072 7414 7751 8088 8096 10784 11121 12144 14828 15502 16176 22242 23253 24288 29656 31004 32352 44484 46506 59312 62008 85261 88968 93012 118624 124016 170522 177936 186024 248032 255783 341044 355872 372048 511566 682088 744096 1023132 1364176 2046264 2728352 4092528 8185056