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448056364 = 227412771409
BaseRepresentation
bin11010101101001…
…100110000101100
31011020002121210011
4122231030300230
51404200300424
6112243223004
714050262530
oct3255146054
91136077704
10448056364
1120aa09418
12106077a64
1371a99112
1443713bc0
1529507694
hex1ab4cc2c

448056364 has 48 divisors (see below), whose sum is σ = 921936960. Its totient is φ = 186531840.

The previous prime is 448056319. The next prime is 448056373. The reversal of 448056364 is 463650844.

448056364 = T245 + T246 + ... + T1392.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317292 + ... + 318700.

It is an arithmetic number, because the mean of its divisors is an integer number (19207020).

Almost surely, 2448056364 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 448056364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460968480).

448056364 is an abundant number, since it is smaller than the sum of its proper divisors (473880596).

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

448056364 is a wasteful number, since it uses less digits than its factorization.

448056364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 448056364 is about 21167.3419209876. The cubic root of 448056364 is about 765.2045611839.

The spelling of 448056364 in words is "four hundred forty-eight million, fifty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 82 164 277 287 554 574 1108 1148 1409 1939 2818 3878 5636 7756 9863 11357 19726 22714 39452 45428 57769 79499 115538 158998 231076 317996 390293 404383 780586 808766 1561172 1617532 2732051 5464102 10928204 16002013 32004026 64008052 112014091 224028182 448056364