Search a number
-
+
8161488 = 2432192157
BaseRepresentation
bin11111001000100011010000
3120100122110100
4133020203100
54042131423
6450532400
7126241266
oct37104320
916318410
108161488
114674935
122897100
1318c9aaa
141126436
15ab3343
hex7c88d0

8161488 has 90 divisors (see below), whose sum is σ = 24259794. Its totient is φ = 2560896.

The previous prime is 8161487. The next prime is 8161493. The reversal of 8161488 is 8841618.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 1871424 = 2508^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8161487) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51906 + ... + 52062.

Almost surely, 28161488 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 8161488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129897).

8161488 is an abundant number, since it is smaller than the sum of its proper divisors (16098306).

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

8161488 is a wasteful number, since it uses less digits than its factorization.

8161488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 8161488 is about 2856.8318116403. The cubic root of 8161488 is about 201.3367785424.

It can be divided in two parts, 8161 and 488, that added together give a square (8649 = 932).

The spelling of 8161488 in words is "eight million, one hundred sixty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 157 171 228 304 314 342 361 456 471 628 684 722 912 942 1083 1256 1368 1413 1444 1884 2166 2512 2736 2826 2888 2983 3249 3768 4332 5652 5776 5966 6498 7536 8664 8949 11304 11932 12996 17328 17898 22608 23864 25992 26847 35796 47728 51984 53694 56677 71592 107388 113354 143184 170031 214776 226708 340062 429552 453416 510093 680124 906832 1020186 1360248 2040372 2720496 4080744 8161488