Search a number
-
+
1048043040 = 2535111931337
BaseRepresentation
bin111110011101111…
…101111000100000
32201001002002202220
4332131331320200
54121244334130
6251555111040
734654135032
oct7635757040
92631062686
101048043040
11498658280
12252ba2480
1313918b915
149d295c52
1562021410
hex3e77de20

1048043040 has 384 divisors, whose sum is σ = 3924910080. Its totient is φ = 232243200.

The previous prime is 1048043039. The next prime is 1048043057. The reversal of 1048043040 is 403408401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1048043040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3109752 + ... + 3110088.

It is an arithmetic number, because the mean of its divisors is an integer number (10221120).

Almost surely, 21048043040 is an apocalyptic number.

1048043040 is a gapful number since it is divisible by the number (10) 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 1048043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962455040).

1048043040 is an abundant number, since it is smaller than the sum of its proper divisors (2876867040).

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

1048043040 is a wasteful number, since it uses less digits than its factorization.

1048043040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1048043040 is about 32373.4928606723. The cubic root of 1048043040 is about 1015.7645206227.

The spelling of 1048043040 in words is "one billion, forty-eight million, forty-three thousand, forty".