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422487072 = 25327209567
BaseRepresentation
bin11001001011101…
…010010000100000
31002102222120022100
4121023222100200
51331124041242
6105531210400
713320036510
oct3113522040
91072876270
10422487072
111a7534877
12b95a6a00
13696b5a67
1440179840
152715654c
hex192ea420

422487072 has 72 divisors (see below), whose sum is σ = 1373089536. Its totient is φ = 120710016.

The previous prime is 422487071. The next prime is 422487073. The reversal of 422487072 is 270784224.

It is an interprime number because it is at equal distance from previous prime (422487071) and next prime (422487073).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (422487071) 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 11 ways as a sum of consecutive naturals, for example, 102768 + ... + 106799.

It is an arithmetic number, because the mean of its divisors is an integer number (19070688).

Almost surely, 2422487072 is an apocalyptic number.

422487072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

422487072 is an abundant number, since it is smaller than the sum of its proper divisors (950602464).

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

422487072 is a wasteful number, since it uses less digits than its factorization.

422487072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209590 (or 209579 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 422487072 is about 20554.4903123381. The cubic root of 422487072 is about 750.3625340638.

The spelling of 422487072 in words is "four hundred twenty-two million, four hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 209567 419134 628701 838268 1257402 1466969 1676536 1886103 2514804 2933938 3353072 3772206 4400907 5029608 5867876 6706144 7544412 8801814 10059216 11735752 13202721 15088824 17603628 20118432 23471504 26405442 30177648 35207256 46943008 52810884 60355296 70414512 105621768 140829024 211243536 422487072