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421924240 = 24534715199
BaseRepresentation
bin11001001001100…
…000110110010000
31002101220222020201
4121021200312100
51331003033430
6105511144544
713312203553
oct3111406620
91071828221
10421924240
111a718aa21
12b9375154
136954981a
144007069a
15270948ca
hex19260d90

421924240 has 40 divisors (see below), whose sum is σ = 983865600. Its totient is φ = 168272256.

The previous prime is 421924231. The next prime is 421924249. The reversal of 421924240 is 42429124.

It is an interprime number because it is at equal distance from previous prime (421924231) and next prime (421924249).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 421924199 and 421924208.

It is not an unprimeable number, because it can be changed into a prime (421924249) 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 7 ways as a sum of consecutive naturals, for example, 20161 + ... + 35359.

It is an arithmetic number, because the mean of its divisors is an integer number (24596640).

Almost surely, 2421924240 is an apocalyptic number.

421924240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421924240 is an abundant number, since it is smaller than the sum of its proper divisors (561941360).

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

421924240 is a wasteful number, since it uses less digits than its factorization.

421924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15559 (or 15553 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 421924240 is about 20540.7945318578. The cubic root of 421924240 is about 750.0291781241.

The spelling of 421924240 in words is "four hundred twenty-one million, nine hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 347 694 1388 1735 2776 3470 5552 6940 13880 15199 27760 30398 60796 75995 121592 151990 243184 303980 607960 1215920 5274053 10548106 21096212 26370265 42192424 52740530 84384848 105481060 210962120 421924240