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449030628 = 22345379331
BaseRepresentation
bin11010110000111…
…010100111100100
31011021221010020000
4122300322213210
51404422440003
6112320141300
714061461124
oct3260724744
91137833200
10449030628
112105143a2
12106467830
137204a6c7
14438c8c84
152964b1a3
hex1ac3a9e4

449030628 has 120 divisors (see below), whose sum is σ = 1214801280. Its totient is φ = 144555840.

The previous prime is 449030609. The next prime is 449030641. The reversal of 449030628 is 826030944.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 449030592 and 449030601.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1356423 + ... + 1356753.

It is an arithmetic number, because the mean of its divisors is an integer number (10123344).

Almost surely, 2449030628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449030628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607400640).

449030628 is an abundant number, since it is smaller than the sum of its proper divisors (765770652).

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

449030628 is a wasteful number, since it uses less digits than its factorization.

449030628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 449030628 is about 21190.3428004362. The cubic root of 449030628 is about 765.7587857681.

The spelling of 449030628 in words is "four hundred forty-nine million, thirty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 79 81 106 108 158 159 162 212 237 316 318 324 331 474 477 636 662 711 948 954 993 1324 1422 1431 1908 1986 2133 2844 2862 2979 3972 4187 4266 4293 5724 5958 6399 8374 8532 8586 8937 11916 12561 12798 16748 17172 17543 17874 25122 25596 26149 26811 35086 35748 37683 50244 52298 52629 53622 70172 75366 78447 104596 105258 107244 113049 150732 156894 157887 210516 226098 235341 313788 315774 339147 452196 470682 473661 631548 678294 706023 941364 947322 1356588 1385897 1412046 1420983 1894644 2118069 2771794 2824092 2841966 4157691 4236138 5543588 5683932 8315382 8472276 12473073 16630764 24946146 37419219 49892292 74838438 112257657 149676876 224515314 449030628