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242545000 = 2354179271
BaseRepresentation
bin11100111010011…
…11000101101000
3121220101120012011
432131033011220
5444042420000
640022325304
76003412165
oct1635170550
9556346164
10242545000
11114a01715
1269289834
133b332369
14242d906c
15164602ba
hexe74f168

242545000 has 80 divisors (see below), whose sum is σ = 573566400. Its totient is φ = 96120000.

The previous prime is 242544989. The next prime is 242545033. The reversal of 242545000 is 545242.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 894865 + ... + 895135.

It is an arithmetic number, because the mean of its divisors is an integer number (7169580).

Almost surely, 2242545000 is an apocalyptic number.

242545000 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 242545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286783200).

242545000 is an abundant number, since it is smaller than the sum of its proper divisors (331021400).

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

242545000 is a wasteful number, since it uses less digits than its factorization.

242545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 457 counting only the distinct ones).

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

The square root of 242545000 is about 15573.8562982968. The cubic root of 242545000 is about 623.6354228550.

The spelling of 242545000 in words is "two hundred forty-two million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 271 358 500 542 625 716 895 1000 1084 1250 1355 1432 1790 2168 2500 2710 3580 4475 5000 5420 6775 7160 8950 10840 13550 17900 22375 27100 33875 35800 44750 48509 54200 67750 89500 97018 111875 135500 169375 179000 194036 223750 242545 271000 338750 388072 447500 485090 677500 895000 970180 1212725 1355000 1940360 2425450 4850900 6063625 9701800 12127250 24254500 30318125 48509000 60636250 121272500 242545000