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242753000 = 2353734679
BaseRepresentation
bin11100111100000…
…01110111101000
3121220210010111212
432132001313220
5444121044000
640031012252
76005236460
oct1636016750
9556703455
10242753000
11115033a16
126936a088
133b3a5c39
1424350ba0
15164a1c35
hexe781de8

242753000 has 64 divisors (see below), whose sum is σ = 649209600. Its totient is φ = 83227200.

The previous prime is 242752981. The next prime is 242753011. The reversal of 242753000 is 357242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10340 + ... + 24339.

It is an arithmetic number, because the mean of its divisors is an integer number (10143900).

Almost surely, 2242753000 is an apocalyptic number.

242753000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242753000 is an abundant number, since it is smaller than the sum of its proper divisors (406456600).

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

242753000 is a wasteful number, since it uses less digits than its factorization.

242753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34707 (or 34693 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 242753000 is about 15580.5327251670. The cubic root of 242753000 is about 623.8136428489.

The spelling of 242753000 in words is "two hundred forty-two million, seven hundred fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 34679 69358 138716 173395 242753 277432 346790 485506 693580 866975 971012 1213765 1387160 1733950 1942024 2427530 3467900 4334875 4855060 6068825 6935800 8669750 9710120 12137650 17339500 24275300 30344125 34679000 48550600 60688250 121376500 242753000