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426401172 = 22343735569
BaseRepresentation
bin11001011010100…
…101110110010100
31002201100102110000
4121122211312110
51333124314142
6110151131300
713365231051
oct3132456624
91081312400
10426401172
111a976856a
12ba973b30
136a4564b2
14408b8028
152767b14c
hex196a5d94

426401172 has 60 divisors (see below), whose sum is σ = 1144856020. Its totient is φ = 138288384.

The previous prime is 426401153. The next prime is 426401179. The reversal of 426401172 is 271104624.

426401172 is a `hidden beast` number, since 4 + 2 + 640 + 1 + 17 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 401361156 + 25040016 = 20034^2 + 5004^2 .

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 (426401179) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5797 + ... + 29772.

Almost surely, 2426401172 is an apocalyptic number.

It is an amenable number.

426401172 is an abundant number, since it is smaller than the sum of its proper divisors (718454848).

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

426401172 is a wasteful number, since it uses less digits than its factorization.

426401172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35622 (or 35611 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 426401172 is about 20649.4835770777. The cubic root of 426401172 is about 752.6726406761.

Adding to 426401172 its reverse (271104624), we get a palindrome (697505796).

The spelling of 426401172 in words is "four hundred twenty-six million, four hundred one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 35569 71138 106707 142276 213414 320121 426828 640242 960363 1280484 1316053 1920726 2632106 2881089 3841452 3948159 5264212 5762178 7896318 11524356 11844477 15792636 23688954 35533431 47377908 71066862 106600293 142133724 213200586 426401172