Search a number
-
+
5626037040 = 2435132592351
BaseRepresentation
bin1010011110101011…
…01000001100110000
3112112002101021221020
411033111220030300
543010231141130
62330133255440
7256263345231
oct51725501460
915462337836
105626037040
112427829998
121110194580
136b8772700
143b52a5088
1522ddb8e10
hex14f568330

5626037040 has 240 divisors, whose sum is σ = 19213770240. Its totient is φ = 1360819200.

The previous prime is 5626037017. The next prime is 5626037051. The reversal of 5626037040 is 407306265.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 5626036992 and 5626037010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2391865 + ... + 2394215.

It is an arithmetic number, because the mean of its divisors is an integer number (80057376).

Almost surely, 25626037040 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 5626037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9606885120).

5626037040 is an abundant number, since it is smaller than the sum of its proper divisors (13587733200).

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

5626037040 is a wasteful number, since it uses less digits than its factorization.

5626037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5626037040 is about 75006.9132813769. The cubic root of 5626037040 is about 1778.5559385850. Note that the first 3 decimals are identical.

The spelling of 5626037040 in words is "five billion, six hundred twenty-six million, thirty-seven thousand, forty".