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6481152 = 28322997
BaseRepresentation
bin11000101110010100000000
3110012021110200
4120232110000
53124344102
6350525200
7106042326
oct30562400
913167420
106481152
113727427
122206800
13145c002
14c09d16
1588051c
hex62e500

6481152 has 108 divisors (see below), whose sum is σ = 19530420. Its totient is φ = 2064384.

The previous prime is 6481141. The next prime is 6481169. The reversal of 6481152 is 2511846.

6481152 is a `hidden beast` number, since 648 + 1 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 3326976 = 1776^2 + 1824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66768 + ... + 66864.

Almost surely, 26481152 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 6481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9765210).

6481152 is an abundant number, since it is smaller than the sum of its proper divisors (13049268).

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

6481152 is a wasteful number, since it uses less digits than its factorization.

6481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 6481152 is about 2545.8106763858. The cubic root of 6481152 is about 186.4449976404. Note that the first 3 decimals are identical.

Adding to 6481152 its reverse (2511846), we get a palindrome (8992998).

It can be divided in two parts, 648 and 1152, that multiplied together give a square (746496 = 8642).

The spelling of 6481152 in words is "six million, four hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 97 116 128 144 174 192 194 232 256 261 288 291 348 384 388 464 522 576 582 696 768 776 873 928 1044 1152 1164 1392 1552 1746 1856 2088 2304 2328 2784 2813 3104 3492 3712 4176 4656 5568 5626 6208 6984 7424 8352 8439 9312 11136 11252 12416 13968 16704 16878 18624 22272 22504 24832 25317 27936 33408 33756 37248 45008 50634 55872 66816 67512 74496 90016 101268 111744 135024 180032 202536 223488 270048 360064 405072 540096 720128 810144 1080192 1620288 2160384 3240576 6481152