Search a number
-
+
5507781408 = 2533193179137
BaseRepresentation
bin1010010000100101…
…00001001100100000
3112012211212021201000
411020102201030200
542234443001113
62310310512000
7253326240513
oct51022411440
915184767630
105507781408
112376aa9768
121098665600
1369a10976c
143a36c0d7a
1522380a373
hex1484a1320

5507781408 has 384 divisors, whose sum is σ = 17805312000. Its totient is φ = 1649756160.

The previous prime is 5507781407. The next prime is 5507781449. The reversal of 5507781408 is 8041877055.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5507781401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40202716 + ... + 40202852.

It is an arithmetic number, because the mean of its divisors is an integer number (46368000).

Almost surely, 25507781408 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 5507781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902656000).

5507781408 is an abundant number, since it is smaller than the sum of its proper divisors (12297530592).

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

5507781408 is a wasteful number, since it uses less digits than its factorization.

5507781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 5507781408 is about 74214.4285701911. The cubic root of 5507781408 is about 1766.0062323775.

The spelling of 5507781408 in words is "five billion, five hundred seven million, seven hundred eighty-one thousand, four hundred eight".