Search a number
-
+
755057808 = 243317310103
BaseRepresentation
bin101101000000010…
…100010010010000
31221121202220121000
4231000110102100
53021243322213
6202531302000
724465612501
oct5500242220
91847686530
10755057808
1135823511a
12190a4a900
13c057898b
14723caba8
154644ac73
hex2d014490

755057808 has 80 divisors (see below), whose sum is σ = 2180039040. Its totient is φ = 250206336.

The previous prime is 755057801. The next prime is 755057813. The reversal of 755057808 is 808750557.

It is a happy number.

755057808 is a `hidden beast` number, since 75 + 5 + 0 + 578 + 0 + 8 = 666.

It is a super-2 number, since 2×7550578082 = 1140224586843529728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (755057801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69685 + ... + 79787.

It is an arithmetic number, because the mean of its divisors is an integer number (27250488).

Almost surely, 2755057808 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 755057808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090019520).

755057808 is an abundant number, since it is smaller than the sum of its proper divisors (1424981232).

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

755057808 is a wasteful number, since it uses less digits than its factorization.

755057808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 755057808 is about 27478.3152321972. The cubic root of 755057808 is about 910.5980884910.

The spelling of 755057808 in words is "seven hundred fifty-five million, fifty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 173 216 346 432 519 692 1038 1384 1557 2076 2768 3114 4152 4671 6228 8304 9342 10103 12456 18684 20206 24912 30309 37368 40412 60618 74736 80824 90927 121236 161648 181854 242472 272781 363708 484944 545562 727416 1091124 1454832 1747819 2182248 3495638 4364496 5243457 6991276 10486914 13982552 15730371 20973828 27965104 31460742 41947656 47191113 62921484 83895312 94382226 125842968 188764452 251685936 377528904 755057808