Search a number
-
+
448673952 = 25313135677
BaseRepresentation
bin11010101111100…
…011100010100000
31011021020222221210
4122233203202200
51404330031302
6112304350120
714055444216
oct3257434240
91137228853
10448673952
112102a0421
12106315340
1371c5425c
1443834cb6
15295ca66c
hex1abe38a0

448673952 has 48 divisors (see below), whose sum is σ = 1186792992. Its totient is φ = 148412160.

The previous prime is 448673933. The next prime is 448673959. The reversal of 448673952 is 259376844.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (448673959) 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, 5263 + ... + 30414.

It is an arithmetic number, because the mean of its divisors is an integer number (24724854).

Almost surely, 2448673952 is an apocalyptic number.

It is an amenable number.

448673952 is an abundant number, since it is smaller than the sum of its proper divisors (738119040).

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

448673952 is a wasteful number, since it uses less digits than its factorization.

448673952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35821 (or 35813 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 448673952 is about 21181.9251249739. The cubic root of 448673952 is about 765.5559784220. Note that the first 3 decimals are identical.

The spelling of 448673952 in words is "four hundred forty-eight million, six hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 4192 6288 12576 35677 71354 107031 142708 214062 285416 428124 570832 856248 1141664 1712496 3424992 4673687 9347374 14021061 18694748 28042122 37389496 56084244 74778992 112168488 149557984 224336976 448673952