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241926912 = 28353889
BaseRepresentation
bin11100110101110…
…00001100000000
3121212020011100000
432122320030000
5443413130122
640001200000
75665226163
oct1632701400
9555204300
10241926912
1111461a2a7
1269030000
133b176c26
14241b7ada
151638c0ac
hexe6b8300

241926912 has 108 divisors (see below), whose sum is σ = 723555560. Its totient is φ = 80621568.

The previous prime is 241926911. The next prime is 241926941. The reversal of 241926912 is 219629142.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (241926911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60264 + ... + 64152.

Almost surely, 2241926912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241926912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361777780).

241926912 is an abundant number, since it is smaller than the sum of its proper divisors (481628648).

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

241926912 is an frugal number, since it uses more digits than its factorization.

241926912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3894 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 241926912 is about 15553.9998714157. Note that the first 3 decimals coincide. The cubic root of 241926912 is about 623.1052264446.

The spelling of 241926912 in words is "two hundred forty-one million, nine hundred twenty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 3889 5184 6912 7776 7778 10368 11667 15552 15556 20736 23334 31104 31112 35001 46668 62208 62224 70002 93336 105003 124448 140004 186672 210006 248896 280008 315009 373344 420012 497792 560016 630018 746688 840024 945027 995584 1120032 1260036 1493376 1680048 1890054 2240064 2520072 2986752 3360096 3780108 4480128 5040144 6720192 7560216 8960256 10080288 13440384 15120432 20160576 26880768 30240864 40321152 60481728 80642304 120963456 241926912