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1050051438 = 23459611801
BaseRepresentation
bin111110100101101…
…000001101101110
32201011212010210000
4332211220031232
54122303121223
6252110125130
735010201312
oct7645501556
92634763700
101050051438
114997aa207
122537b07a6
13139712b17
149d659b42
15622bb543
hex3e96836e

1050051438 has 80 divisors (see below), whose sum is σ = 2433348720. Its totient is φ = 338256000.

The previous prime is 1050051419. The next prime is 1050051469. The reversal of 1050051438 is 8341500501.

1050051438 is a `hidden beast` number, since 10 + 500 + 5 + 143 + 8 = 666.

It is a super-2 number, since 2×10500514382 = 2205216044891735688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 582138 + ... + 583938.

It is an arithmetic number, because the mean of its divisors is an integer number (30416859).

Almost surely, 21050051438 is an apocalyptic number.

1050051438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050051438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216674360).

1050051438 is an abundant number, since it is smaller than the sum of its proper divisors (1383297282).

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

1050051438 is a wasteful number, since it uses less digits than its factorization.

1050051438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1050051438 is about 32404.4971878904. The cubic root of 1050051438 is about 1016.4129538123.

Adding to 1050051438 its reverse (8341500501), we get a palindrome (9391551939).

The spelling of 1050051438 in words is "one billion, fifty million, fifty-one thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 59 61 81 118 122 162 177 183 354 366 531 549 1062 1098 1593 1647 1801 3186 3294 3599 3602 4779 4941 5403 7198 9558 9882 10797 10806 16209 21594 32391 32418 48627 64782 97173 97254 106259 109861 145881 194346 212518 219722 291519 291762 318777 329583 583038 637554 659166 956331 988749 1912662 1977498 2868993 2966247 5737986 5932494 6481799 8606979 8898741 12963598 17213958 17797482 19445397 38890794 58336191 116672382 175008573 350017146 525025719 1050051438