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931040082 = 23472532213
BaseRepresentation
bin110111011111101…
…000101101010010
32101212220201220000
4313133220231102
53401321240312
6232215230430
732033465400
oct6737505522
92355821800
10931040082
11438603215
1221b978416
1311ab73bbb
148b91a470
1556b0dadc
hex377e8b52

931040082 has 120 divisors (see below), whose sum is σ = 2473733196. Its totient is φ = 260874432.

The previous prime is 931040057. The next prime is 931040083. The reversal of 931040082 is 280040139.

It can be written as a sum of positive squares in 2 ways, for example, as 744143841 + 186896241 = 27279^2 + 13671^2 .

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

It is not an unprimeable number, because it can be changed into a prime (931040083) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 419608 + ... + 421820.

Almost surely, 2931040082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 931040082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236866598).

931040082 is an abundant number, since it is smaller than the sum of its proper divisors (1542693114).

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

931040082 is a wasteful number, since it uses less digits than its factorization.

931040082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 931040082 is about 30512.9494149615. The cubic root of 931040082 is about 976.4637516895.

The spelling of 931040082 in words is "nine hundred thirty-one million, forty thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 81 98 106 126 147 159 162 189 294 318 371 378 441 477 567 742 882 954 1113 1134 1323 1431 2213 2226 2597 2646 2862 3339 3969 4293 4426 5194 6639 6678 7791 7938 8586 10017 13278 15491 15582 19917 20034 23373 30051 30982 39834 46473 46746 59751 60102 70119 92946 108437 117289 119502 139419 140238 179253 210357 216874 234578 278838 325311 351867 358506 418257 420714 650622 703734 821023 836514 975933 1055601 1254771 1642046 1951866 2111202 2463069 2509542 2927799 3166803 4926138 5747161 5855598 6333606 7389207 8783397 9500409 11494322 14778414 17241483 17566794 19000818 22167621 34482966 44335242 51724449 66502863 103448898 133005726 155173347 310346694 465520041 931040082