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421123248 = 243272134591
BaseRepresentation
bin11001000110011…
…101010010110000
31002100102021111100
4121012131102300
51330301420443
6105442044400
713302326400
oct3106352260
91070367440
10421123248
111a6793147
12b9049700
1369329070
143dd02800
1526e873d3
hex1919d4b0

421123248 has 180 divisors, whose sum is σ = 1476759648. Its totient is φ = 111041280.

The previous prime is 421123193. The next prime is 421123249. The reversal of 421123248 is 842321124.

421123248 is a `hidden beast` number, since 421 + 1 + 232 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (421123249) by changing a digit.

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, 89433 + ... + 94023.

Almost surely, 2421123248 is an apocalyptic number.

421123248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421123248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738379824).

421123248 is an abundant number, since it is smaller than the sum of its proper divisors (1055636400).

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

421123248 is a wasteful number, since it uses less digits than its factorization.

421123248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4616 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 421123248 is about 20521.2876788958. The cubic root of 421123248 is about 749.5542524647.

The spelling of 421123248 in words is "four hundred twenty-one million, one hundred twenty-three thousand, two hundred forty-eight".