Search a number
-
+
8048740 = 2257243191
BaseRepresentation
bin11110101101000001100100
3120010220210111
4132231001210
54030024430
6444302404
7125261500
oct36550144
916126714
108048740
1145a8157
122841a04
13188a68b
1410d7300
15a8ec2a
hex7ad064

8048740 has 72 divisors (see below), whose sum is σ = 20224512. Its totient is φ = 2681280.

The previous prime is 8048737. The next prime is 8048743. The reversal of 8048740 is 478408.

It is an interprime number because it is at equal distance from previous prime (8048737) and next prime (8048743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42045 + ... + 42235.

It is an arithmetic number, because the mean of its divisors is an integer number (280896).

Almost surely, 28048740 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 8048740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112256).

8048740 is an abundant number, since it is smaller than the sum of its proper divisors (12175772).

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

8048740 is a wasteful number, since it uses less digits than its factorization.

8048740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 8048740 is about 2837.0301373091. The cubic root of 8048740 is about 200.4053445905.

The spelling of 8048740 in words is "eight million, forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 191 196 215 245 301 382 430 490 602 764 860 955 980 1204 1337 1505 1910 2107 2674 3010 3820 4214 5348 6020 6685 8213 8428 9359 10535 13370 16426 18718 21070 26740 32852 37436 41065 42140 46795 57491 82130 93590 114982 164260 187180 229964 287455 402437 574910 804874 1149820 1609748 2012185 4024370 8048740