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448967952 = 24323117833
BaseRepresentation
bin11010110000101…
…011010100010000
31011021210221020200
4122300223110100
51404413433302
6112314535200
714061110316
oct3260532420
91137727220
10448967952
112104812a4
12106437500
1372028014
14438b00b6
152963781c
hex1ac2b510

448967952 has 30 divisors (see below), whose sum is σ = 1256487102. Its totient is φ = 149655936.

The previous prime is 448967951. The next prime is 448967957. The reversal of 448967952 is 259769844.

It can be written as a sum of positive squares in only one way, i.e., 424524816 + 24443136 = 20604^2 + 4944^2 .

It is not an unprimeable number, because it can be changed into a prime (448967951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1558773 + ... + 1559060.

Almost surely, 2448967952 is an apocalyptic number.

It is an amenable number.

448967952 is an abundant number, since it is smaller than the sum of its proper divisors (807519150).

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

448967952 is a wasteful number, since it uses less digits than its factorization.

448967952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117847 (or 3117838 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 448967952 is about 21188.8638676074. The cubic root of 448967952 is about 765.7231557332.

The spelling of 448967952 in words is "four hundred forty-eight million, nine hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3117833 6235666 9353499 12471332 18706998 24942664 28060497 37413996 49885328 56120994 74827992 112241988 149655984 224483976 448967952