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2396416 = 28112337
BaseRepresentation
bin1001001001000100000000
311111202021011
421021010000
51103141131
6123210304
726240431
oct11110400
94452234
102396416
111397510
12976994
1365b9c9
14465488
153250b1
hex249100

2396416 has 72 divisors (see below), whose sum is σ = 5592384. Its totient is φ = 1013760.

The previous prime is 2396411. The next prime is 2396419. The reversal of 2396416 is 6146932.

It is not an unprimeable number, because it can be changed into a prime (2396411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64750 + ... + 64786.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

22396416 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 2396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796192).

2396416 is an abundant number, since it is smaller than the sum of its proper divisors (3195968).

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

2396416 is a wasteful number, since it uses less digits than its factorization.

2396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 2396416 is about 1548.0361752879. The cubic root of 2396416 is about 133.8199110448.

The spelling of 2396416 in words is "two million, three hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 32 37 44 46 64 74 88 92 128 148 176 184 253 256 296 352 368 407 506 592 704 736 814 851 1012 1184 1408 1472 1628 1702 2024 2368 2816 2944 3256 3404 4048 4736 5888 6512 6808 8096 9361 9472 13024 13616 16192 18722 26048 27232 32384 37444 52096 54464 64768 74888 104192 108928 149776 217856 299552 599104 1198208 2396416