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2412416 = 2747401
BaseRepresentation
bin1001001100111110000000
311112120012202
421030332000
51104144131
6123412332
726335166
oct11147600
94476182
102412416
1113a8536
129840a8
13666086
1446b236
15329bcb
hex24cf80

2412416 has 32 divisors (see below), whose sum is σ = 4920480. Its totient is φ = 1177600.

The previous prime is 2412409. The next prime is 2412439. The reversal of 2412416 is 6142142.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5816 + ... + 6216.

It is an arithmetic number, because the mean of its divisors is an integer number (153765).

22412416 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 2412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460240).

2412416 is an abundant number, since it is smaller than the sum of its proper divisors (2508064).

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

2412416 is an equidigital number, since it uses as much as digits as its factorization.

2412416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 2412416 is about 1553.1954159088. The cubic root of 2412416 is about 134.1170730034.

Adding to 2412416 its reverse (6142142), we get a palindrome (8554558).

The spelling of 2412416 in words is "two million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 401 752 802 1504 1604 3008 3208 6016 6416 12832 18847 25664 37694 51328 75388 150776 301552 603104 1206208 2412416