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1244193048 = 2337710159
BaseRepresentation
bin100101000101000…
…1110000100011000
310012201011120000000
41022022032010120
510022003134143
6323243213000
742555315660
oct11212160430
93181146000
101244193048
1158935071a
122a8817160
1316a9c8707
14bb3551a0
1574369bd3
hex4a28e118

1244193048 has 128 divisors (see below), whose sum is σ = 3998976000. Its totient is φ = 355448736.

The previous prime is 1244193007. The next prime is 1244193077. The reversal of 1244193048 is 8403914421.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 117393 + ... + 127551.

It is an arithmetic number, because the mean of its divisors is an integer number (31242000).

Almost surely, 21244193048 is an apocalyptic number.

1244193048 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 1244193048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999488000).

1244193048 is an abundant number, since it is smaller than the sum of its proper divisors (2754782952).

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

1244193048 is an equidigital number, since it uses as much as digits as its factorization.

1244193048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10193 (or 10171 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1244193048 is about 35273.1207578802. The cubic root of 1244193048 is about 1075.5466620745.

The spelling of 1244193048 in words is "one billion, two hundred forty-four million, one hundred ninety-three thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2187 2268 2916 3402 4374 4536 5103 5832 6804 8748 10159 10206 13608 15309 17496 20318 20412 30477 30618 40636 40824 60954 61236 71113 81272 91431 121908 122472 142226 182862 213339 243816 274293 284452 365724 426678 548586 568904 640017 731448 822879 853356 1097172 1280034 1645758 1706712 1920051 2194344 2468637 2560068 3291516 3840102 4937274 5120136 5760153 6583032 7405911 7680204 9874548 11520306 14811822 15360408 17280459 19749096 22217733 23040612 29623644 34560918 44435466 46081224 51841377 59247288 69121836 88870932 103682754 138243672 155524131 177741864 207365508 311048262 414731016 622096524 1244193048