Search a number
-
+
4542263280 = 2432512495051
BaseRepresentation
bin1000011101011110…
…10110111111110000
3102201120001212211100
410032233112333300
533300304411110
62030420244400
7220363413042
oct41657267760
912646055740
104542263280
111a20a976a5
12a69240700
13575083569
1431138ba92
151b8b8abc0
hex10ebd6ff0

4542263280 has 120 divisors (see below), whose sum is σ = 15269670000. Its totient is φ = 1210060800.

The previous prime is 4542263279. The next prime is 4542263311. The reversal of 4542263280 is 823622454.

4542263280 is a `hidden beast` number, since 4 + 542 + 2 + 6 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896755 + ... + 901805.

It is an arithmetic number, because the mean of its divisors is an integer number (127247250).

Almost surely, 24542263280 is an apocalyptic number.

4542263280 is a gapful number since it is divisible by the number (40) 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 4542263280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634835000).

4542263280 is an abundant number, since it is smaller than the sum of its proper divisors (10727406720).

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

4542263280 is a wasteful number, since it uses less digits than its factorization.

4542263280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4542263280 is about 67396.3150327969. The cubic root of 4542263280 is about 1656.1160564186.

The spelling of 4542263280 in words is "four billion, five hundred forty-two million, two hundred sixty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1249 2498 3747 4996 5051 6245 7494 9992 10102 11241 12490 14988 15153 18735 19984 20204 22482 24980 25255 29976 30306 37470 40408 44964 45459 49960 50510 56205 59952 60612 74940 75765 80816 89928 90918 99920 101020 112410 121224 149880 151530 179856 181836 202040 224820 227295 242448 299760 303060 363672 404080 449640 454590 606120 727344 899280 909180 1212240 1818360 3636720 6308699 12617398 18926097 25234796 31543495 37852194 50469592 56778291 63086990 75704388 94630485 100939184 113556582 126173980 151408776 189260970 227113164 252347960 283891455 302817552 378521940 454226328 504695920 567782910 757043880 908452656 1135565820 1514087760 2271131640 4542263280