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91109376 = 211324943
BaseRepresentation
bin1010110111000…
…11100000000000
320100102211120100
411123203200000
5141311000001
613012442400
72154263001
oct533434000
9210384510
1091109376
1147479906
1226619400
1315b4cb97
14c1591a8
157eea586
hex56e3800

91109376 has 72 divisors (see below), whose sum is σ = 263193840. Its totient is φ = 30363648.

The previous prime is 91109363. The next prime is 91109383. The reversal of 91109376 is 67390119.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 91109376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15961 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (3655470).

Almost surely, 291109376 is an apocalyptic number.

91109376 is a gapful number since it is divisible by the number (96) 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 91109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131596920).

91109376 is an abundant number, since it is smaller than the sum of its proper divisors (172084464).

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

91109376 is a wasteful number, since it uses less digits than its factorization.

91109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4948 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 91109376 is about 9545.1231526890. The cubic root of 91109376 is about 449.9742800115.

The spelling of 91109376 in words is "ninety-one million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 4943 6144 9216 9886 14829 18432 19772 29658 39544 44487 59316 79088 88974 118632 158176 177948 237264 316352 355896 474528 632704 711792 949056 1265408 1423584 1898112 2530816 2847168 3796224 5061632 5694336 7592448 10123264 11388672 15184896 22777344 30369792 45554688 91109376