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245542000 = 24531111161
BaseRepresentation
bin11101010001010…
…10110001110000
3122010000211022011
432220222301300
51000324321000
640210452304
76041033614
oct1650526160
9563024264
10245542000
11116669380
126a294094
133bb41532
1424879344
15168532ba
hexea2ac70

245542000 has 80 divisors (see below), whose sum is σ = 647753184. Its totient is φ = 89280000.

The previous prime is 245541983. The next prime is 245542007. The reversal of 245542000 is 245542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245542007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16420 + ... + 27580.

Almost surely, 2245542000 is an apocalyptic number.

245542000 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 245542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323876592).

245542000 is an abundant number, since it is smaller than the sum of its proper divisors (402211184).

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

245542000 is a wasteful number, since it uses less digits than its factorization.

245542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 245542000 is about 15669.7798325312. The cubic root of 245542000 is about 626.1935592153.

Adding to 245542000 its reverse (245542), we get a palindrome (245787542).

245542000 divided by its reverse (245542) gives a cube (1000 = 103).

It can be divided in two parts, 245 and 542000, that added together give a palindrome (542245).

The spelling of 245542000 in words is "two hundred forty-five million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 11161 22000 22322 44644 55805 89288 111610 122771 178576 223220 245542 279025 446440 491084 558050 613855 892880 982168 1116100 1227710 1395125 1964336 2232200 2455420 2790250 3069275 4464400 4910840 5580500 6138550 9821680 11161000 12277100 15346375 22322000 24554200 30692750 49108400 61385500 122771000 245542000