Search a number
-
+
1058424192 = 2733767653
BaseRepresentation
bin111111000101100…
…100010110000000
32201202121112001000
4333011210112000
54131424033232
6253005412000
735141312550
oct7705442600
92652545030
101058424192
114a34a8841
1225656a000
1313b384b07
14a07d9160
1562dc227c
hex3f164580

1058424192 has 256 divisors, whose sum is σ = 3628915200. Its totient is φ = 297437184.

The previous prime is 1058424181. The next prime is 1058424197. The reversal of 1058424192 is 2914248501.

It is a super-2 number, since 2×10584241922 = 2240523540421705728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058424197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620538 + ... + 1621190.

It is an arithmetic number, because the mean of its divisors is an integer number (14175450).

Almost surely, 21058424192 is an apocalyptic number.

1058424192 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 1058424192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814457600).

1058424192 is an abundant number, since it is smaller than the sum of its proper divisors (2570491008).

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

1058424192 is an equidigital number, since it uses as much as digits as its factorization.

1058424192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1058424192 is about 32533.4319124190. The cubic root of 1058424192 is about 1019.1073158539.

The spelling of 1058424192 in words is "one billion, fifty-eight million, four hundred twenty-four thousand, one hundred ninety-two".