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448642240 = 2651782471
BaseRepresentation
bin11010101111011…
…011110011000000
31011021012101110021
4122233123303000
51404323022430
6112303543224
714055252604
oct3257336300
91137171407
10448642240
11210279612
121062bab14
1371c429a7
1443827504
15295c107a
hex1abdbcc0

448642240 has 56 divisors (see below), whose sum is σ = 1131185952. Its totient is φ = 168898560.

The previous prime is 448642217. The next prime is 448642247. The reversal of 448642240 is 42246844.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 448642196 and 448642205.

It is not an unprimeable number, because it can be changed into a prime (448642247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35796 + ... + 46675.

Almost surely, 2448642240 is an apocalyptic number.

448642240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448642240 is an abundant number, since it is smaller than the sum of its proper divisors (682543712).

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

448642240 is a wasteful number, since it uses less digits than its factorization.

448642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82505 (or 82495 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 448642240 is about 21181.1765490022. The cubic root of 448642240 is about 765.5379416546.

The spelling of 448642240 in words is "four hundred forty-eight million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 82471 164942 329884 412355 659768 824710 1319536 1402007 1649420 2639072 2804014 3298840 5278144 5608028 6597680 7010035 11216056 13195360 14020070 22432112 26390720 28040140 44864224 56080280 89728448 112160560 224321120 448642240