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4455744672 = 253291600483
BaseRepresentation
bin1000010011001010…
…10100010010100000
3102111112021021121110
410021211110102200
533111132312142
62014050023320
7215263130151
oct41145242240
912445237543
104455744672
111987173a15
12a44277b40
13560180112
14303aa9928
151b129a99c
hex1099544a0

4455744672 has 48 divisors (see below), whose sum is σ = 12099659040. Its totient is φ = 1434031872.

The previous prime is 4455744661. The next prime is 4455744677. The reversal of 4455744672 is 2764475544.

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 (4455744677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797458 + ... + 803025.

It is an arithmetic number, because the mean of its divisors is an integer number (252076230).

Almost surely, 24455744672 is an apocalyptic number.

It is an amenable number.

4455744672 is an abundant number, since it is smaller than the sum of its proper divisors (7643914368).

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

4455744672 is a wasteful number, since it uses less digits than its factorization.

4455744672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600525 (or 1600517 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 48.

The square root of 4455744672 is about 66751.3645703217. The cubic root of 4455744672 is about 1645.5336414719.

The spelling of 4455744672 in words is "four billion, four hundred fifty-five million, seven hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 1600483 3200966 4801449 6401932 9602898 12803864 19205796 25607728 38411592 46414007 51215456 76823184 92828014 139242021 153646368 185656028 278484042 371312056 556968084 742624112 1113936168 1485248224 2227872336 4455744672