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5940536448 = 273711316481
BaseRepresentation
bin1011000100001010…
…10110010010000000
3120100000011112000110
411202011112102000
544131234131243
62421250151320
7300132504150
oct54205262200
916300145013
105940536448
112579306a60
121199582540
13738979032
14404d70760
1524b7dde33
hex162156480

5940536448 has 256 divisors, whose sum is σ = 20310958080. Its totient is φ = 1492992000.

The previous prime is 5940536359. The next prime is 5940536449. The reversal of 5940536448 is 8446350495.

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

It is a junction number, because it is equal to n+sod(n) for n = 5940536397 and 5940536406.

It is not an unprimeable number, because it can be changed into a prime (5940536449) 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 31 ways as a sum of consecutive naturals, for example, 913368 + ... + 919848.

It is an arithmetic number, because the mean of its divisors is an integer number (79339680).

Almost surely, 25940536448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5940536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10155479040).

5940536448 is an abundant number, since it is smaller than the sum of its proper divisors (14370421632).

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

5940536448 is a wasteful number, since it uses less digits than its factorization.

5940536448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547 (or 6535 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 5940536448 is about 77074.8755950991. The cubic root of 5940536448 is about 1811.0977385067.

The spelling of 5940536448 in words is "five billion, nine hundred forty million, five hundred thirty-six thousand, four hundred forty-eight".