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798048 = 253217163
BaseRepresentation
bin11000010110101100000
31111112201100
43002311200
5201014143
625034400
76532446
oct3026540
91445640
10798048
114a5649
12325a00
1321c324
1416ab96
1510b6d3
hexc2d60

798048 has 72 divisors (see below), whose sum is σ = 2417688. Its totient is φ = 248832.

The previous prime is 798043. The next prime is 798059. The reversal of 798048 is 840897.

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

It is a super-2 number, since 2×7980482 = 1273761220608, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 798048.

It is not an unprimeable number, because it can be changed into a prime (798043) 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, 4815 + ... + 4977.

It is an arithmetic number, because the mean of its divisors is an integer number (33579).

2798048 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 798048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208844).

798048 is an abundant number, since it is smaller than the sum of its proper divisors (1619640).

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

798048 is a wasteful number, since it uses less digits than its factorization.

798048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 798048 is about 893.3353233809. The cubic root of 798048 is about 92.7562120013.

Subtracting 798048 from its reverse (840897), we obtain a square (42849 = 2072).

The spelling of 798048 in words is "seven hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 163 204 272 288 306 326 408 489 544 612 652 816 978 1224 1304 1467 1632 1956 2448 2608 2771 2934 3912 4896 5216 5542 5868 7824 8313 11084 11736 15648 16626 22168 23472 24939 33252 44336 46944 49878 66504 88672 99756 133008 199512 266016 399024 798048