Search a number
-
+
4164048 = 2437717
BaseRepresentation
bin1111111000100111010000
321211120000000
433320213100
52031222143
6225130000
750252040
oct17704720
97746000
104164048
112394569
121489900
13b2a445
147a5720
15573bd3
hex3f89d0

4164048 has 160 divisors (see below), whose sum is σ = 14641920. Its totient is φ = 1119744.

The previous prime is 4164047. The next prime is 4164049. The reversal of 4164048 is 8404614.

It is an interprime number because it is at equal distance from previous prime (4164047) and next prime (4164049).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244936 + ... + 244952.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

Almost surely, 24164048 is an apocalyptic number.

4164048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320960).

4164048 is an abundant number, since it is smaller than the sum of its proper divisors (10477872).

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

4164048 is an equidigital number, since it uses as much as digits as its factorization.

4164048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4164048 is about 2040.5999117906. The cubic root of 4164048 is about 160.8811797714.

The spelling of 4164048 in words is "four million, one hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 81 84 102 108 112 119 126 136 144 153 162 168 189 204 216 238 243 252 272 306 324 336 357 378 408 432 459 476 486 504 567 612 648 714 729 756 816 918 952 972 1008 1071 1134 1224 1296 1377 1428 1458 1512 1701 1836 1904 1944 2142 2187 2268 2448 2754 2856 2916 3024 3213 3402 3672 3888 4131 4284 4374 4536 5103 5508 5712 5832 6426 6804 7344 8262 8568 8748 9072 9639 10206 11016 11664 12393 12852 13608 15309 16524 17136 17496 19278 20412 22032 24786 25704 27216 28917 30618 33048 34992 37179 38556 40824 49572 51408 57834 61236 66096 74358 77112 81648 86751 99144 115668 122472 148716 154224 173502 198288 231336 244944 260253 297432 347004 462672 520506 594864 694008 1041012 1388016 2082024 4164048