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255874440 = 233541131397
BaseRepresentation
bin11110100000001…
…01010110001000
3122211110202202010
433100011112020
51011000440230
641220135520
76224616423
oct1720052610
9584422663
10255874440
11121486288
12718375a0
134101b4c3
1425da89ba
15176e49b0
hexf405588

255874440 has 128 divisors (see below), whose sum is σ = 794344320. Its totient is φ = 65894400.

The previous prime is 255874391. The next prime is 255874441. The reversal of 255874440 is 44478552.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (255874441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644322 + ... + 644718.

It is an arithmetic number, because the mean of its divisors is an integer number (6205815).

Almost surely, 2255874440 is an apocalyptic number.

255874440 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 255874440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397172160).

255874440 is an abundant number, since it is smaller than the sum of its proper divisors (538469880).

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

255874440 is a wasteful number, since it uses less digits than its factorization.

255874440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 255874440 is about 15996.0757687628. The cubic root of 255874440 is about 634.8565943963.

The spelling of 255874440 in words is "two hundred fifty-five million, eight hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 131 164 205 246 262 328 393 397 410 492 524 615 655 786 794 820 984 1048 1191 1230 1310 1572 1588 1640 1965 1985 2382 2460 2620 3144 3176 3930 3970 4764 4920 5240 5371 5955 7860 7940 9528 10742 11910 15720 15880 16113 16277 21484 23820 26855 32226 32554 42968 47640 48831 52007 53710 64452 65108 80565 81385 97662 104014 107420 128904 130216 156021 161130 162770 195324 208028 214840 244155 260035 312042 322260 325540 390648 416056 488310 520070 624084 644520 651080 780105 976620 1040140 1248168 1560210 1953240 2080280 2132287 3120420 4264574 6240840 6396861 8529148 10661435 12793722 17058296 21322870 25587444 31984305 42645740 51174888 63968610 85291480 127937220 255874440