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255039480 = 233253122853
BaseRepresentation
bin11110011001110…
…01011111111000
3122202220100101200
433030321133320
51010242230410
641150214200
76214541223
oct1714713770
9582810350
10255039480
11120a65a33
12714b4360
1340ab8447
1425c2c5ba
15175cc3c0
hexf3397f8

255039480 has 96 divisors (see below), whose sum is σ = 855653760. Its totient is φ = 65813760.

The previous prime is 255039467. The next prime is 255039487. The reversal of 255039480 is 84930552.

It is a super-3 number, since 3×2550394803 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255039487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267 + ... + 22586.

It is an arithmetic number, because the mean of its divisors is an integer number (8913060).

Almost surely, 2255039480 is an apocalyptic number.

255039480 is a gapful number since it is divisible by the number (20) 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 255039480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427826880).

255039480 is an abundant number, since it is smaller than the sum of its proper divisors (600614280).

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

255039480 is a wasteful number, since it uses less digits than its factorization.

255039480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22901 (or 22894 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 255039480 is about 15969.9555415787. The cubic root of 255039480 is about 634.1652950639.

The spelling of 255039480 in words is "two hundred fifty-five million, thirty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 22853 45706 68559 91412 114265 137118 182824 205677 228530 274236 342795 411354 457060 548472 685590 708443 822708 914120 1028385 1371180 1416886 1645416 2056770 2125329 2742360 2833772 3542215 4113540 4250658 5667544 6375987 7084430 8227080 8501316 10626645 12751974 14168860 17002632 21253290 25503948 28337720 31879935 42506580 51007896 63759870 85013160 127519740 255039480