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421237908 = 223472132157
BaseRepresentation
bin11001000110111…
…001010010010100
31002100122002210000
4121012321102110
51330314103113
6105444331300
713303314600
oct3106712224
91070562700
10421237908
111a6861303
12b90a3b30
1369369300
143dd32500
1526eab373
hex191b9494

421237908 has 270 divisors, whose sum is σ = 1395939006. Its totient is φ = 110388096.

The previous prime is 421237907. The next prime is 421237909. The reversal of 421237908 is 809732124.

It is an interprime number because it is at equal distance from previous prime (421237907) and next prime (421237909).

It can be written as a sum of positive squares in 3 ways, for example, as 4588164 + 416649744 = 2142^2 + 20412^2 .

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

421237908 is a modest number, since divided by 37908 gives 4212 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421237903) 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 89 ways as a sum of consecutive naturals, for example, 2682966 + ... + 2683122.

Almost surely, 2421237908 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 421237908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697969503).

421237908 is an abundant number, since it is smaller than the sum of its proper divisors (974701098).

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

421237908 is a wasteful number, since it uses less digits than its factorization.

421237908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 421237908 is about 20524.0811731001. The cubic root of 421237908 is about 749.6222737958.

It can be divided in two parts, 4212 and 37908, that multiplied together give a square (159668496 = 126362).

The spelling of 421237908 in words is "four hundred twenty-one million, two hundred thirty-seven thousand, nine hundred eight".