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89797248 = 27352887
BaseRepresentation
bin1010101101000…
…11001010000000
320020222011200000
411112203022000
5140442002443
612524400000
72140156362
oct526431200
9206864600
1089797248
1146763002
12260a6000
13157b0888
14bcd6d32
157d3b8d3
hex55a3280

89797248 has 96 divisors (see below), whose sum is σ = 268064160. Its totient is φ = 29922048.

The previous prime is 89797243. The next prime is 89797277. The reversal of 89797248 is 84279798.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×897972484 (a number of 33 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89797194 and 89797203.

It is not an unprimeable number, because it can be changed into a prime (89797243) 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, 29661 + ... + 32547.

It is an arithmetic number, because the mean of its divisors is an integer number (2792335).

Almost surely, 289797248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134032080).

89797248 is an abundant number, since it is smaller than the sum of its proper divisors (178266912).

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

89797248 is an equidigital number, since it uses as much as digits as its factorization.

89797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2892 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 89797248 is about 9476.1409867097. The cubic root of 89797248 is about 447.8036980117.

The spelling of 89797248 in words is "eighty-nine million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 2887 3456 3888 5184 5774 7776 8661 10368 11548 15552 17322 23096 25983 31104 34644 46192 51966 69288 77949 92384 103932 138576 155898 184768 207864 233847 277152 311796 369536 415728 467694 554304 623592 701541 831456 935388 1108608 1247184 1403082 1662912 1870776 2494368 2806164 3325824 3741552 4988736 5612328 7483104 9977472 11224656 14966208 22449312 29932416 44898624 89797248