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449226408942 = 23331421637423
BaseRepresentation
bin1101000100101111111…
…10110000001111101110
31120221112100202001012000
412202113332300033232
524330003430041232
6542212144553130
744312151321153
oct6422776601756
91527470661160
10449226408942
11163574661aa3
12730910227a6
133349204377c
1417a57c8022a
15ba433d127c
hex6897fb03ee

449226408942 has 64 divisors (see below), whose sum is σ = 1032932843520. Its totient is φ = 144567309600.

The previous prime is 449226408941. The next prime is 449226409001. The reversal of 449226408942 is 249804622944.

It is a happy number.

449226408942 is a `hidden beast` number, since 4 + 4 + 9 + 226 + 408 + 9 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449226408941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386043 + ... + 1023465.

It is an arithmetic number, because the mean of its divisors is an integer number (16139575680).

Almost surely, 2449226408942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449226408942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516466421760).

449226408942 is an abundant number, since it is smaller than the sum of its proper divisors (583706434578).

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

449226408942 is a wasteful number, since it uses less digits than its factorization.

449226408942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637886 (or 637880 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 449226408942 in words is "four hundred forty-nine billion, two hundred twenty-six million, four hundred eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 421 558 837 842 1263 1674 2526 3789 7578 11367 13051 22734 26102 39153 78306 117459 234918 352377 637423 704754 1274846 1912269 3824538 5736807 11473614 17210421 19760113 34420842 39520226 59280339 118560678 177841017 268355083 355682034 533523051 536710166 805065249 1067046102 1610130498 2415195747 4830391494 7245587241 8319007573 14491174482 16638015146 24957022719 49914045438 74871068157 149742136314 224613204471 449226408942