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422978240 = 2657118617
BaseRepresentation
bin11001001101100…
…010001011000000
31002110220112001202
4121031202023000
51331240300430
6105545520332
713324153466
oct3115421300
91073815052
10422978240
111a783a8a3
12b97a30a8
13698284a9
1440266836
1527201d45
hex193622c0

422978240 has 56 divisors (see below), whose sum is σ = 1021457952. Its totient is φ = 166799360.

The previous prime is 422978201. The next prime is 422978243. The reversal of 422978240 is 42879224.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 422978194 and 422978203.

It is not an unprimeable number, because it can be changed into a prime (422978243) 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, 13412 + ... + 32028.

Almost surely, 2422978240 is an apocalyptic number.

422978240 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 422978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510728976).

422978240 is an abundant number, since it is smaller than the sum of its proper divisors (598479712).

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

422978240 is a wasteful number, since it uses less digits than its factorization.

422978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18705 (or 18695 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 422978240 is about 20566.4347906972. The cubic root of 422978240 is about 750.6532027882.

The spelling of 422978240 in words is "four hundred twenty-two million, nine hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 1136 1420 2272 2840 4544 5680 11360 18617 22720 37234 74468 93085 148936 186170 297872 372340 595744 744680 1191488 1321807 1489360 2643614 2978720 5287228 5957440 6609035 10574456 13218070 21148912 26436140 42297824 52872280 84595648 105744560 211489120 422978240