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2417296 = 247113191
BaseRepresentation
bin1001001110001010010000
311112210220111
421032022100
51104323141
6123451104
726355340
oct11161220
94483814
102417296
111401172
12986a94
1366836b
1446cd20
1532b381
hex24e290

2417296 has 40 divisors (see below), whose sum is σ = 5428224. Its totient is φ = 1021440.

The previous prime is 2417291. The next prime is 2417297. The reversal of 2417296 is 6927142.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12561 + ... + 12751.

22417296 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 2417296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714112).

2417296 is an abundant number, since it is smaller than the sum of its proper divisors (3010928).

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

2417296 is a wasteful number, since it uses less digits than its factorization.

2417296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 2417296 is about 1554.7655771852. The cubic root of 2417296 is about 134.2074458212.

The spelling of 2417296 in words is "two million, four hundred seventeen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 191 226 382 452 764 791 904 1337 1528 1582 1808 2674 3056 3164 5348 6328 10696 12656 21392 21583 43166 86332 151081 172664 302162 345328 604324 1208648 2417296