Search a number
-
+
1926135552 = 28311232431
BaseRepresentation
bin111001011001110…
…0111111100000000
311222020100211020210
41302303213330000
512421042314202
6515043434120
765505611355
oct16263477400
94866324223
101926135552
118a9287170
12459085940
132490848a3
14143b4c62c
15b4171c6c
hex72ce7f00

1926135552 has 216 divisors, whose sum is σ = 5859641088. Its totient is φ = 557004800.

The previous prime is 1926135539. The next prime is 1926135557. The reversal of 1926135552 is 2555316291.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1926135552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1926135557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4468777 + ... + 4469207.

It is an arithmetic number, because the mean of its divisors is an integer number (27127968).

Almost surely, 21926135552 is an apocalyptic number.

1926135552 is a gapful number since it is divisible by the number (12) 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 1926135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929820544).

1926135552 is an abundant number, since it is smaller than the sum of its proper divisors (3933505536).

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

1926135552 is a wasteful number, since it uses less digits than its factorization.

1926135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 470 counting only the distinct ones).

The product of its digits is 81000, while the sum is 39.

The square root of 1926135552 is about 43887.7608451377. The cubic root of 1926135552 is about 1244.2155242562.

The spelling of 1926135552 in words is "one billion, nine hundred twenty-six million, one hundred thirty-five thousand, five hundred fifty-two".