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83106744 = 23372174157
BaseRepresentation
bin1001111010000…
…01101110111000
312210101021000120
410331001232320
5132233403434
612125133240
72026252500
oct475015670
9183337016
1083106744
1142a03366
12239ba220
13142aa4b6
14b074a00
157469349
hex4f41bb8

83106744 has 96 divisors (see below), whose sum is σ = 255966480. Its totient is φ = 22342656.

The previous prime is 83106731. The next prime is 83106767. The reversal of 83106744 is 44760138.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17914 + ... + 22070.

Almost surely, 283106744 is an apocalyptic number.

83106744 is a gapful number since it is divisible by the number (84) 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 83106744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127983240).

83106744 is an abundant number, since it is smaller than the sum of its proper divisors (172859736).

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

83106744 is a wasteful number, since it uses less digits than its factorization.

83106744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 83106744 is about 9116.2900348771. The cubic root of 83106744 is about 436.3939849789.

The spelling of 83106744 in words is "eighty-three million, one hundred six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4157 4998 6664 8314 9996 12471 16628 19992 24942 29099 33256 49884 58198 70669 87297 99768 116396 141338 174594 203693 212007 232792 282676 349188 407386 424014 494683 565352 611079 698376 814772 848028 989366 1222158 1484049 1629544 1696056 1978732 2444316 2968098 3462781 3957464 4888632 5936196 6925562 10388343 11872392 13851124 20776686 27702248 41553372 83106744