Search a number
-
+
42958022484 = 223132359307661
BaseRepresentation
bin101000000000011111…
…110110011101010100
311002212211002122111210
4220000133312131110
51200434223204414
631422403301420
73050353111026
oct500037663524
9132784078453
1042958022484
1117244758123
1283aa67a870
134087b5a120
1421173a8016
1511b6537e59
hexa007f6754

42958022484 has 192 divisors, whose sum is σ = 115095214080. Its totient is φ = 12369646080.

The previous prime is 42958022477. The next prime is 42958022501. The reversal of 42958022484 is 48422085924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64989114 + ... + 64989774.

It is an arithmetic number, because the mean of its divisors is an integer number (599454240).

Almost surely, 242958022484 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 42958022484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57547607040).

42958022484 is an abundant number, since it is smaller than the sum of its proper divisors (72137191596).

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

42958022484 is a wasteful number, since it uses less digits than its factorization.

42958022484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 42958022484 in words is "forty-two billion, nine hundred fifty-eight million, twenty-two thousand, four hundred eighty-four".