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242854272 = 2732210811
BaseRepresentation
bin11100111100110…
…10100110000000
3121220222021102200
432132122212000
5444132314042
640033113200
76006140643
oct1636324600
9556867380
10242854272
111150a3011
12693b8800
133b41006b
1424379a5a
15164c1c4c
hexe79a980

242854272 has 48 divisors (see below), whose sum is σ = 698841780. Its totient is φ = 80951040.

The previous prime is 242854259. The next prime is 242854301. The reversal of 242854272 is 272458242.

242854272 is a `hidden beast` number, since 2 + 42 + 8 + 542 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 104254 + ... + 106557.

Almost surely, 2242854272 is an apocalyptic number.

It is an amenable number.

242854272 is an abundant number, since it is smaller than the sum of its proper divisors (455987508).

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

242854272 is a wasteful number, since it uses less digits than its factorization.

242854272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210831 (or 210816 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 242854272 is about 15583.7823393424. The cubic root of 242854272 is about 623.9003785736.

The spelling of 242854272 in words is "two hundred forty-two million, eight hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 210811 421622 632433 843244 1264866 1686488 1897299 2529732 3372976 3794598 5059464 6745952 7589196 10118928 13491904 15178392 20237856 26983808 30356784 40475712 60713568 80951424 121427136 242854272