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5254039040 = 295172329181
BaseRepresentation
bin1001110010010101…
…00100011000000000
3111120011101211121112
410321022210120000
541230013222130
62225204142452
7244125411035
oct47112443000
914504354545
105254039040
11225684a328
121027697a28
13659686853
1437bb0d38c
1520b3d7495
hex1392a4600

5254039040 has 320 divisors, whose sum is σ = 14477823360. Its totient is φ = 1816657920.

The previous prime is 5254039039. The next prime is 5254039051. The reversal of 5254039040 is 409304525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5254038988 and 5254039006.

It is a congruent number.

It is an unprimeable number.

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, 29027750 + ... + 29027930.

It is an arithmetic number, because the mean of its divisors is an integer number (45243198).

Almost surely, 25254039040 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 5254039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238911680).

5254039040 is an abundant number, since it is smaller than the sum of its proper divisors (9223784320).

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

5254039040 is a wasteful number, since it uses less digits than its factorization.

5254039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5254039040 is about 72484.7503962040. The cubic root of 5254039040 is about 1738.4589164664.

The spelling of 5254039040 in words is "five billion, two hundred fifty-four million, thirty-nine thousand, forty".