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100489248 = 253512923
BaseRepresentation
bin1011111110101…
…01100000100000
321000002101100000
411333111200200
5201211123443
613545500000
72330100366
oct577254040
9230071300
10100489248
11517a6072
12297a1600
1317a853c2
14d4bb636
158c4e8d3
hex5fd5820

100489248 has 72 divisors (see below), whose sum is σ = 296373168. Its totient is φ = 33493824.

The previous prime is 100489247. The next prime is 100489267. The reversal of 100489248 is 842984001.

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 not an unprimeable number, because it can be changed into a prime (100489247) 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 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 14237.

It is an arithmetic number, because the mean of its divisors is an integer number (4116294).

Almost surely, 2100489248 is an apocalyptic number.

100489248 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 100489248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148186584).

100489248 is an abundant number, since it is smaller than the sum of its proper divisors (195883920).

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

100489248 is an equidigital number, since it uses as much as digits as its factorization.

100489248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948 (or 12928 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 100489248 is about 10024.4325525189. The cubic root of 100489248 is about 464.9146149154.

The spelling of 100489248 in words is "one hundred million, four hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 12923 25846 38769 51692 77538 103384 116307 155076 206768 232614 310152 348921 413536 465228 620304 697842 930456 1046763 1240608 1395684 1860912 2093526 2791368 3140289 3721824 4187052 5582736 6280578 8374104 11165472 12561156 16748208 25122312 33496416 50244624 100489248