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83111742 = 232721723241
BaseRepresentation
bin1001111010000…
…10111100111110
312210101111212200
410331002330332
5132234033432
612125212330
72026303200
oct475027476
9183344780
1083111742
1142a0709a
1223a010a6
13142ac85c
14b076770
15746aa7c
hex4f42f3e

83111742 has 144 divisors (see below), whose sum is σ = 232401312. Its totient is φ = 21288960.

The previous prime is 83111729. The next prime is 83111773. The reversal of 83111742 is 24711138.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 344742 + ... + 344982.

It is an arithmetic number, because the mean of its divisors is an integer number (1613898).

Almost surely, 283111742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83111742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116200656).

83111742 is an abundant number, since it is smaller than the sum of its proper divisors (149289570).

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

83111742 is a wasteful number, since it uses less digits than its factorization.

83111742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 83111742 is about 9116.5641554261. The cubic root of 83111742 is about 436.4027329790.

The spelling of 83111742 in words is "eighty-three million, one hundred eleven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 34 42 46 49 51 63 69 98 102 119 126 138 147 153 161 207 238 241 294 306 322 357 391 414 441 482 483 714 723 782 833 882 966 1071 1127 1173 1446 1449 1666 1687 2142 2169 2254 2346 2499 2737 2898 3374 3381 3519 4097 4338 4998 5061 5474 5543 6762 7038 7497 8194 8211 10122 10143 11086 11809 12291 14994 15183 16422 16629 19159 20286 23618 24582 24633 28679 30366 33258 35427 36873 38318 38801 49266 49887 57358 57477 70854 73746 77602 86037 94231 99774 106281 114954 116403 172074 172431 188462 200753 212562 232806 258111 271607 282693 344862 349209 401506 516222 543214 565386 602259 659617 698418 814821 848079 1204518 1319234 1629642 1696158 1806777 1978851 2444463 3613554 3957702 4617319 4888926 5936553 9234638 11873106 13851957 27703914 41555871 83111742