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110490048 = 2633431487
BaseRepresentation
bin1101001010111…
…11000111000000
321200220110212000
412211133013000
5211241140143
614544104000
72511102264
oct645370700
9250813760
10110490048
1157406899
1231005000
1319b77436
14109620a4
159a77bd3
hex695f1c0

110490048 has 112 divisors (see below), whose sum is σ = 332597760. Its totient is φ = 35949312.

The previous prime is 110490047. The next prime is 110490049. The reversal of 110490048 is 840094011.

It is an interprime number because it is at equal distance from previous prime (110490047) and next prime (110490049).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110490041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73561 + ... + 75047.

Almost surely, 2110490048 is an apocalyptic number.

110490048 is a gapful number since it is divisible by the number (18) 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 110490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166298880).

110490048 is an abundant number, since it is smaller than the sum of its proper divisors (222107712).

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

110490048 is a wasteful number, since it uses less digits than its factorization.

110490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 110490048 is about 10511.4246417886. The cubic root of 110490048 is about 479.8524546513.

The spelling of 110490048 in words is "one hundred ten million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1487 1548 1728 2064 2322 2752 2974 3096 4128 4461 4644 5948 6192 8256 8922 9288 11896 12384 13383 17844 18576 23792 24768 26766 35688 37152 40149 47584 53532 63941 71376 74304 80298 95168 107064 127882 142752 160596 191823 214128 255764 285504 321192 383646 428256 511528 575469 642384 767292 856512 1023056 1150938 1284768 1534584 1726407 2046112 2301876 2569536 3069168 3452814 4092224 4603752 6138336 6905628 9207504 12276672 13811256 18415008 27622512 36830016 55245024 110490048