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91046144 = 28723472
BaseRepresentation
bin1010110110101…
…00000100000000
320100022121211102
411123110010000
5141301434034
613011233532
72153610440
oct533240400
9210277742
1091046144
1147436352
12265a88a8
1315b2a177
14c140120
157ed697e
hex56d4100

91046144 has 108 divisors (see below), whose sum is σ = 221438784. Its totient is φ = 36529152.

The previous prime is 91046107. The next prime is 91046149. The reversal of 91046144 is 44164019.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91046149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1937129 + ... + 1937175.

Almost surely, 291046144 is an apocalyptic number.

91046144 is a gapful number since it is divisible by the number (94) 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 91046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110719392).

91046144 is an abundant number, since it is smaller than the sum of its proper divisors (130392640).

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

91046144 is an equidigital number, since it uses as much as digits as its factorization.

91046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 91046144 is about 9541.8103104180. The cubic root of 91046144 is about 449.8701584243.

The spelling of 91046144 in words is "ninety-one million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 64 92 94 112 128 161 184 188 224 256 322 329 368 376 448 644 658 736 752 896 1081 1288 1316 1472 1504 1792 2162 2209 2576 2632 2944 3008 4324 4418 5152 5264 5888 6016 7567 8648 8836 10304 10528 12032 15134 15463 17296 17672 20608 21056 30268 30926 34592 35344 41216 42112 50807 60536 61852 69184 70688 84224 101614 121072 123704 138368 141376 203228 242144 247408 276736 282752 355649 406456 484288 494816 565504 711298 812912 968576 989632 1422596 1625824 1937152 1979264 2845192 3251648 3958528 5690384 6503296 11380768 13006592 22761536 45523072 91046144