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5202416 = 242367211
BaseRepresentation
bin10011110110000111110000
3100210022101002
4103312013300
52312434131
6303301132
762135252
oct23660760
910708332
105202416
112a3371a
1218aa7a8
131101c6b
14995cd2
156cb6cb
hex4f61f0

5202416 has 40 divisors (see below), whose sum is σ = 10725504. Its totient is φ = 2439360.

The previous prime is 5202413. The next prime is 5202433. The reversal of 5202416 is 6142025.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5202413) 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, 24551 + ... + 24761.

Almost surely, 25202416 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 5202416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362752).

5202416 is an abundant number, since it is smaller than the sum of its proper divisors (5523088).

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

5202416 is a wasteful number, since it uses less digits than its factorization.

5202416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5202416 is about 2280.8805317245. The cubic root of 5202416 is about 173.2746481149.

The spelling of 5202416 in words is "five million, two hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 46 67 92 134 184 211 268 368 422 536 844 1072 1541 1688 3082 3376 4853 6164 9706 12328 14137 19412 24656 28274 38824 56548 77648 113096 226192 325151 650302 1300604 2601208 5202416