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45939096 = 23337231321
BaseRepresentation
bin1010111100111…
…1100110011000
310012102221121000
42233033212120
543230022341
64320345000
71065322140
oct257174630
9105387530
1045939096
1123a277a5
1213475160
139695bc8
14615b920
1540768b6
hex2bcf998

45939096 has 128 divisors (see below), whose sum is σ = 152294400. Its totient is φ = 12545280.

The previous prime is 45939079. The next prime is 45939121. The reversal of 45939096 is 69093954.

It is a happy number.

It is a super-2 number, since 2×459390962 = 4220801082594432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34116 + ... + 35436.

It is an arithmetic number, because the mean of its divisors is an integer number (1189800).

Almost surely, 245939096 is an apocalyptic number.

45939096 is a gapful number since it is divisible by the number (46) 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 45939096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76147200).

45939096 is an abundant number, since it is smaller than the sum of its proper divisors (106355304).

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

45939096 is a wasteful number, since it uses less digits than its factorization.

45939096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 45939096 is about 6777.8385935341. The cubic root of 45939096 is about 358.1465854153.

It can be divided in two parts, 4593 and 9096, that added together give a square (13689 = 1172).

The spelling of 45939096 in words is "forty-five million, nine hundred thirty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1321 1449 1512 1656 1932 2484 2642 2898 3864 3963 4347 4968 5284 5796 7926 8694 9247 10568 11592 11889 15852 17388 18494 23778 27741 30383 31704 34776 35667 36988 47556 55482 60766 71334 73976 83223 91149 95112 110964 121532 142668 166446 182298 212681 221928 243064 249669 273447 285336 332892 364596 425362 499338 546894 638043 665784 729192 820341 850724 998676 1093788 1276086 1640682 1701448 1914129 1997352 2187576 2552172 3281364 3828258 5104344 5742387 6562728 7656516 11484774 15313032 22969548 45939096