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2393872 = 241317677
BaseRepresentation
bin1001001000011100010000
311111121202221
421020130100
51103100442
6123150424
726230135
oct11103420
94447687
102393872
111395608
12975414
1365a7c0
1446458c
15324467
hex248710

2393872 has 40 divisors (see below), whose sum is σ = 5296536. Its totient is φ = 1038336.

The previous prime is 2393869. The next prime is 2393873. The reversal of 2393872 is 2783932.

It can be written as a sum of positive squares in 4 ways, for example, as 992016 + 1401856 = 996^2 + 1184^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2393873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3198 + ... + 3874.

22393872 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 2393872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648268).

2393872 is an abundant number, since it is smaller than the sum of its proper divisors (2902664).

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

2393872 is a wasteful number, since it uses less digits than its factorization.

2393872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 2393872 is about 1547.2142708752. The cubic root of 2393872 is about 133.7725405281.

The spelling of 2393872 in words is "two million, three hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 677 884 1354 1768 2708 3536 5416 8801 10832 11509 17602 23018 35204 46036 70408 92072 140816 149617 184144 299234 598468 1196936 2393872