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1381444848 = 2433739323
BaseRepresentation
bin101001001010111…
…0010110011110000
310120021102200002000
41102111302303300
510312122213343
6345025054000
746143042000
oct12225626360
93507380060
101381444848
11649875a63
12326787300
13190282bb4
14d1682000
158142bed3
hex52572cf0

1381444848 has 160 divisors (see below), whose sum is σ = 4624704000. Its totient is φ = 394656192.

The previous prime is 1381444829. The next prime is 1381444849. The reversal of 1381444848 is 8484441831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381444849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143515 + ... + 152837.

It is an arithmetic number, because the mean of its divisors is an integer number (28904400).

Almost surely, 21381444848 is an apocalyptic number.

1381444848 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 1381444848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312352000).

1381444848 is an abundant number, since it is smaller than the sum of its proper divisors (3243259152).

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

1381444848 is an equidigital number, since it uses as much as digits as its factorization.

1381444848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9361 (or 9335 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 1381444848 is about 37167.7931548269. The cubic root of 1381444848 is about 1113.7246971317.

The spelling of 1381444848 in words is "one billion, three hundred eighty-one million, four hundred forty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 343 378 392 432 441 504 588 686 756 784 882 1008 1029 1176 1323 1372 1512 1764 2058 2352 2646 2744 3024 3087 3528 4116 5292 5488 6174 7056 8232 9261 9323 10584 12348 16464 18522 18646 21168 24696 27969 37044 37292 49392 55938 65261 74088 74584 83907 111876 130522 148176 149168 167814 195783 223752 251721 261044 335628 391566 447504 456827 503442 522088 587349 671256 783132 913654 1006884 1044176 1174698 1342512 1370481 1566264 1762047 1827308 2013768 2349396 2740962 3132528 3197789 3524094 3654616 4027536 4111443 4698792 5481924 6395578 7048188 7309232 8222886 9397584 9593367 10963848 12334329 12791156 14096376 16445772 19186734 21927696 24668658 25582312 28192752 28780101 32891544 38373468 49337316 51164624 57560202 65783088 76746936 86340303 98674632 115120404 153493872 172680606 197349264 230240808 345361212 460481616 690722424 1381444848