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10509048 = 2333114423
BaseRepresentation
bin101000000101…
…101011111000
3201202220201000
4220011223320
510142242143
61013125000
7155216424
oct50055370
921686630
1010509048
115a28670
123629760
13223c494
141577b84
15dc8bd3
hexa05af8

10509048 has 64 divisors (see below), whose sum is σ = 31852800. Its totient is φ = 3183840.

The previous prime is 10509029. The next prime is 10509097. The reversal of 10509048 is 84090501.

It is a super-2 number, since 2×105090482 = 220880179732608, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165 + ... + 4587.

It is an arithmetic number, because the mean of its divisors is an integer number (497700).

Almost surely, 210509048 is an apocalyptic number.

10509048 is a gapful number since it is divisible by the number (18) 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 10509048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15926400).

10509048 is an abundant number, since it is smaller than the sum of its proper divisors (21343752).

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

10509048 is a wasteful number, since it uses less digits than its factorization.

10509048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10509048 is about 3241.7661852762. The cubic root of 10509048 is about 219.0388371731.

Adding to 10509048 its reverse (84090501), we get a palindrome (94599549).

The spelling of 10509048 in words is "ten million, five hundred nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 4423 8846 13269 17692 26538 35384 39807 48653 53076 79614 97306 106152 119421 145959 159228 194612 238842 291918 318456 389224 437877 477684 583836 875754 955368 1167672 1313631 1751508 2627262 3503016 5254524 10509048