Search a number
-
+
5353776 = 243917
BaseRepresentation
bin10100011011000100110000
3101002000000000
4110123010300
52332310101
6310430000
763335451
oct24330460
911060000
105353776
11302740a
121962300
131155b1c
149d5128
1570b486
hex51b130

5353776 has 100 divisors (see below), whose sum is σ = 16474392. Its totient is φ = 1679616.

The previous prime is 5353757. The next prime is 5353811. The reversal of 5353776 is 6773535.

5353776 is a `hidden beast` number, since 53 + 537 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5353776.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314920 + ... + 314936.

Almost surely, 25353776 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 5353776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237196).

5353776 is an abundant number, since it is smaller than the sum of its proper divisors (11120616).

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

5353776 is an frugal number, since it uses more digits than its factorization.

5353776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 22 counting only the distinct ones).

The product of its digits is 66150, while the sum is 36.

The square root of 5353776 is about 2313.8228108479. The cubic root of 5353776 is about 174.9390372690.

The spelling of 5353776 in words is "five million, three hundred fifty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 729 816 918 972 1224 1296 1377 1458 1836 1944 2187 2448 2754 2916 3672 3888 4131 4374 5508 5832 6561 7344 8262 8748 11016 11664 12393 13122 16524 17496 19683 22032 24786 26244 33048 34992 37179 39366 49572 52488 66096 74358 78732 99144 104976 111537 148716 157464 198288 223074 297432 314928 334611 446148 594864 669222 892296 1338444 1784592 2676888 5353776