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255525000 = 233553407
BaseRepresentation
bin11110011101100…
…00000010001000
3122210211000101220
433032300002020
51010403300000
641204442040
76221632563
oct1716600210
9583730356
10255525000
11121267795
12716a9320
1340c28433
1425d174da
15176761a0
hexf3b0088

255525000 has 96 divisors (see below), whose sum is σ = 798698880. Its totient is φ = 68120000.

The previous prime is 255524999. The next prime is 255525019. The reversal of 255525000 is 525552.

255525000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73297 + ... + 76703.

It is an arithmetic number, because the mean of its divisors is an integer number (8319780).

Almost surely, 2255525000 is an apocalyptic number.

255525000 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 255525000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399349440).

255525000 is an abundant number, since it is smaller than the sum of its proper divisors (543173880).

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

255525000 is an equidigital number, since it uses as much as digits as its factorization.

255525000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 255525000 is about 15985.1493580761. The cubic root of 255525000 is about 634.5674612395.

The spelling of 255525000 in words is "two hundred fifty-five million, five hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3125 3407 3750 5000 6250 6814 7500 9375 10221 12500 13628 15000 17035 18750 20442 25000 27256 34070 37500 40884 51105 68140 75000 81768 85175 102210 136280 170350 204420 255525 340700 408840 425875 511050 681400 851750 1022100 1277625 1703500 2044200 2129375 2555250 3407000 4258750 5110500 6388125 8517500 10221000 10646875 12776250 17035000 21293750 25552500 31940625 42587500 51105000 63881250 85175000 127762500 255525000