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422483040 = 2534574657
BaseRepresentation
bin11001001011101…
…001010001100000
31002102222100210000
4121023221101200
51331123424130
6105531140000
713320021660
oct3113512140
91072870700
10422483040
111a7531841
12b95a4600
13696b3c85
14401781a0
1527155260
hex192e9460

422483040 has 240 divisors, whose sum is σ = 1704380832. Its totient is φ = 96546816.

The previous prime is 422483029. The next prime is 422483063. The reversal of 422483040 is 40384224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 422482995 and 422483013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88392 + ... + 93048.

Almost surely, 2422483040 is an apocalyptic number.

422483040 is a gapful number since it is divisible by the number (40) 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 422483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852190416).

422483040 is an abundant number, since it is smaller than the sum of its proper divisors (1281897792).

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

422483040 is a wasteful number, since it uses less digits than its factorization.

422483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4674 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 422483040 is about 20554.3922313456. The cubic root of 422483040 is about 750.3601470311.

The spelling of 422483040 in words is "four hundred twenty-two million, four hundred eighty-three thousand, forty".