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448974036 = 223374011481
BaseRepresentation
bin11010110000101…
…100110011010100
31011021211020121000
4122300230303110
51404414132121
6112315023300
714061134130
oct3260546324
91137736530
10448974036
11210485925
1210643ab30
137202aa14
14438b23c0
1529639526
hex1ac2ccd4

448974036 has 96 divisors (see below), whose sum is σ = 1334511360. Its totient is φ = 127872000.

The previous prime is 448973983. The next prime is 448974037. The reversal of 448974036 is 630479844.

It is a junction number, because it is equal to n+sod(n) for n = 448973982 and 448974000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448974037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302416 + ... + 303896.

It is an arithmetic number, because the mean of its divisors is an integer number (13901160).

Almost surely, 2448974036 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 448974036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667255680).

448974036 is an abundant number, since it is smaller than the sum of its proper divisors (885537324).

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

448974036 is a wasteful number, since it uses less digits than its factorization.

448974036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 448974036 is about 21189.0074331008. The cubic root of 448974036 is about 765.7266145091.

The spelling of 448974036 in words is "four hundred forty-eight million, nine hundred seventy-four thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 401 756 802 1203 1481 1604 2406 2807 2962 3609 4443 4812 5614 5924 7218 8421 8886 10367 10827 11228 13329 14436 16842 17772 20734 21654 25263 26658 31101 33684 39987 41468 43308 50526 53316 62202 75789 79974 93303 101052 124404 151578 159948 186606 279909 303156 373212 559818 593881 1119636 1187762 1781643 2375524 3563286 4157167 5344929 7126572 8314334 10689858 12471501 16034787 16628668 21379716 24943002 32069574 37414503 49886004 64139148 74829006 112243509 149658012 224487018 448974036