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19797248 = 28174549
BaseRepresentation
bin100101110000…
…1010100000000
31101020210201102
41023201110000
520032002443
61544153532
7330162632
oct113412400
941223642
1019797248
11101a1a69
1267688a8
134142063
1428b4a52
151b10cb8
hex12e1500

19797248 has 36 divisors (see below), whose sum is σ = 41850900. Its totient is φ = 9314304.

The previous prime is 19797241. The next prime is 19797263. The reversal of 19797248 is 84279791.

It can be written as a sum of positive squares in 2 ways, for example, as 14992384 + 4804864 = 3872^2 + 2192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19797241) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2078 + ... + 6626.

It is an arithmetic number, because the mean of its divisors is an integer number (1162525).

Almost surely, 219797248 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 19797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20925450).

19797248 is an abundant number, since it is smaller than the sum of its proper divisors (22053652).

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

19797248 is an equidigital number, since it uses as much as digits as its factorization.

19797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 4568 counting only the distinct ones).

The product of its digits is 254016, while the sum is 47.

The square root of 19797248 is about 4449.4098485080. The cubic root of 19797248 is about 270.5213884912.

The spelling of 19797248 in words is "nineteen million, seven hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 4549 9098 18196 36392 72784 77333 145568 154666 291136 309332 582272 618664 1164544 1237328 2474656 4949312 9898624 19797248