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242754450 = 23521924483
BaseRepresentation
bin11100111100000…
…10001110010010
3121220210012111120
432132002032102
5444121120300
640031023110
76005243631
oct1636021622
9556705446
10242754450
11115035014
126936aa96
133b3a67b3
1424351518
15164a23a0
hexe782392

242754450 has 72 divisors (see below), whose sum is σ = 635526288. Its totient is φ = 61313760.

The previous prime is 242754377. The next prime is 242754461. The reversal of 242754450 is 54457242.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 51909 + ... + 56391.

It is an arithmetic number, because the mean of its divisors is an integer number (8826754).

Almost surely, 2242754450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242754450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317763144).

242754450 is an abundant number, since it is smaller than the sum of its proper divisors (392771838).

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

242754450 is a wasteful number, since it uses less digits than its factorization.

242754450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 242754450 is about 15580.5792575244. The cubic root of 242754450 is about 623.8148848905.

The spelling of 242754450 in words is "two hundred forty-two million, seven hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 361 475 570 722 950 1083 1425 1805 2166 2850 3610 4483 5415 8966 9025 10830 13449 18050 22415 26898 27075 44830 54150 67245 85177 112075 134490 170354 224150 255531 336225 425885 511062 672450 851770 1277655 1618363 2129425 2555310 3236726 4258850 4855089 6388275 8091815 9710178 12776550 16183630 24275445 40459075 48550890 80918150 121377225 242754450