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83944938 = 237211101257
BaseRepresentation
bin1010000000011…
…10010111101010
312211221211210210
411000032113222
5132442214223
612155121550
72036343300
oct500162752
9184854723
1083944938
1143426090
12241432b6
1314511b7c
14b212270
157582893
hex500e5ea

83944938 has 96 divisors (see below), whose sum is σ = 216001728. Its totient is φ = 21504000.

The previous prime is 83944919. The next prime is 83944943.

83944938 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326506 + ... + 326762.

It is an arithmetic number, because the mean of its divisors is an integer number (2250018).

Almost surely, 283944938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83944938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000864).

83944938 is an abundant number, since it is smaller than the sum of its proper divisors (132056790).

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

83944938 is a wasteful number, since it uses less digits than its factorization.

83944938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 83944938 is about 9162.1470191217. The cubic root of 83944938 is about 437.8562005792.

The spelling of 83944938 in words is "eighty-three million, nine hundred forty-four thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 101 147 154 202 231 257 294 303 462 514 539 606 707 771 1078 1111 1414 1542 1617 1799 2121 2222 2827 3234 3333 3598 4242 4949 5397 5654 6666 7777 8481 9898 10794 12593 14847 15554 16962 19789 23331 25186 25957 29694 37779 39578 46662 51914 54439 59367 75558 77871 108878 118734 138523 155742 163317 181699 277046 285527 326634 363398 415569 545097 571054 831138 856581 1090194 1271893 1713162 1998689 2543786 3815679 3997378 5996067 7631358 11992134 13990823 27981646 41972469 83944938