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4888380672 = 28337711423
BaseRepresentation
bin1001000110101111…
…01100010100000000
3110121200100110122000
410203113230110000
540002411140142
62125022544000
7232065356460
oct44327542400
913550313560
104888380672
1120893aa82a
12b45138000
135cb9aa456
14345327ba0
151d925914c
hex1235ec500

4888380672 has 288 divisors, whose sum is σ = 16765378560. Its totient is φ = 1376040960.

The previous prime is 4888380671. The next prime is 4888380713. The reversal of 4888380672 is 2760838884.

4888380672 is a `hidden beast` number, since 488 + 83 + 80 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4888380671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3434553 + ... + 3435975.

It is an arithmetic number, because the mean of its divisors is an integer number (58213120).

Almost surely, 24888380672 is an apocalyptic number.

4888380672 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 4888380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382689280).

4888380672 is an abundant number, since it is smaller than the sum of its proper divisors (11876997888).

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

4888380672 is a wasteful number, since it uses less digits than its factorization.

4888380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 4888380672 is about 69916.9555401263. The cubic root of 4888380672 is about 1697.1556440799.

The spelling of 4888380672 in words is "four billion, eight hundred eighty-eight million, three hundred eighty thousand, six hundred seventy-two".