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449156048 = 241117197901
BaseRepresentation
bin11010110001011…
…001001111010000
31011022011111021012
4122301121033100
51404440443143
6112322550052
714062522565
oct3261311720
91138144235
10449156048
1121059a650
12106508328
1372092813
144391c86c
1529673418
hex1ac593d0

449156048 has 80 divisors (see below), whose sum is σ = 1058235840. Its totient is φ = 182016000.

The previous prime is 449156041. The next prime is 449156051. The reversal of 449156048 is 840651944.

It is a junction number, because it is equal to n+sod(n) for n = 449155996 and 449156014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449156041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52898 + ... + 60798.

It is an arithmetic number, because the mean of its divisors is an integer number (13227948).

Almost surely, 2449156048 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 449156048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529117920).

449156048 is an abundant number, since it is smaller than the sum of its proper divisors (609079792).

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

449156048 is a wasteful number, since it uses less digits than its factorization.

449156048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 449156048 is about 21193.3019607611. The cubic root of 449156048 is about 765.8300745403.

The spelling of 449156048 in words is "four hundred forty-nine million, one hundred fifty-six thousand, forty-eight".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 646 748 836 1292 1496 1672 2584 2992 3344 3553 5168 7106 7901 14212 15802 28424 31604 56848 63208 86911 126416 134317 150119 173822 268634 300238 347644 537268 600476 695288 1074536 1200952 1390576 1477487 1651309 2149072 2401904 2552023 2954974 3302618 5104046 5909948 6605236 10208092 11819896 13210472 20416184 23639792 26420944 28072253 40832368 56144506 112289012 224578024 449156048