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4958016 = 263721731
BaseRepresentation
bin10010111010011101000000
3100022220010020
4102322131000
52232124031
6254133440
760066600
oct22723500
910286106
104958016
112887038
1217b1280
13104794b
14930c00
1567e096
hex4ba740

4958016 has 168 divisors, whose sum is σ = 16678656. Its totient is φ = 1290240.

The previous prime is 4958011. The next prime is 4958017. The reversal of 4958016 is 6108594.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159921 + ... + 159951.

Almost surely, 24958016 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 4958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339328).

4958016 is an abundant number, since it is smaller than the sum of its proper divisors (11720640).

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

4958016 is a wasteful number, since it uses less digits than its factorization.

4958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4958016 is about 2226.6602794320. The cubic root of 4958016 is about 170.5176379158.

The spelling of 4958016 in words is "four million, nine hundred fifty-eight thousand, sixteen".