Search a number
-
+
422046072 = 23337279131
BaseRepresentation
bin11001001001111…
…110100101111000
31002102011011101000
4121021332211320
51331020433242
6105513525000
713313222010
oct3111764570
91072134330
10422046072
111a7263508
12b9413760
1369590106
14400a2c40
15270baa4c
hex1927e978

422046072 has 64 divisors (see below), whose sum is σ = 1339833600. Its totient is φ = 120584160.

The previous prime is 422046071. The next prime is 422046083. The reversal of 422046072 is 270640224.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422046071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138054 + ... + 141077.

It is an arithmetic number, because the mean of its divisors is an integer number (20934900).

Almost surely, 2422046072 is an apocalyptic number.

422046072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

422046072 is an abundant number, since it is smaller than the sum of its proper divisors (917787528).

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

422046072 is a wasteful number, since it uses less digits than its factorization.

422046072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279153 (or 279143 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 422046072 is about 20543.7599285038. The cubic root of 422046072 is about 750.1013623003.

Adding to 422046072 its reverse (270640224), we get a palindrome (692686296).

The spelling of 422046072 in words is "four hundred twenty-two million, forty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 279131 558262 837393 1116524 1674786 1953917 2233048 2512179 3349572 3907834 5024358 5861751 6699144 7536537 7815668 10048716 11723502 15073074 15631336 17585253 20097432 23447004 30146148 35170506 46894008 52755759 60292296 70341012 105511518 140682024 211023036 422046072