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448900452 = 22327111312457
BaseRepresentation
bin11010110000011…
…010110101100100
31011021200111122200
4122300122311210
51404404303302
6112313254500
714060406450
oct3260326544
91137614580
10448900452
11210435610
12106404430
1372003390
1443893660
152962281c
hex1ac1ad64

448900452 has 144 divisors (see below), whose sum is σ = 1523663232. Its totient is φ = 107619840.

The previous prime is 448900447. The next prime is 448900489. The reversal of 448900452 is 254009844.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29808 + ... + 42264.

Almost surely, 2448900452 is an apocalyptic number.

448900452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448900452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761831616).

448900452 is an abundant number, since it is smaller than the sum of its proper divisors (1074762780).

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

448900452 is a wasteful number, since it uses less digits than its factorization.

448900452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12493 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 448900452 is about 21187.2709899128. The cubic root of 448900452 is about 765.6847796433.

The spelling of 448900452 in words is "four hundred forty-eight million, nine hundred thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 12457 18018 24914 36036 37371 49828 74742 87199 112113 137027 149484 161941 174398 224226 261597 274054 323882 348796 411081 448452 485823 523194 548108 647764 784791 822162 959189 971646 1046388 1133587 1233243 1457469 1569582 1644324 1781351 1918378 1943292 2267174 2466486 2877567 2914938 3139164 3400761 3562702 3836756 4534348 4932972 5344053 5755134 5829876 6801522 7125404 8632701 10202283 10688106 11510268 12469457 13603044 16032159 17265402 20404566 21376212 24938914 32064318 34530804 37408371 40809132 49877828 64128636 74816742 112225113 149633484 224450226 448900452