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5045616 = 243237947
BaseRepresentation
bin10011001111110101110000
3100111100021200
4103033311300
52242424431
6300051200
760613152
oct23176560
910440250
105045616
112936934
121833b00
131078794
14954ad2
15699ee6
hex4cfd70

5045616 has 60 divisors (see below), whose sum is σ = 14517672. Its totient is φ = 1634688.

The previous prime is 5045611. The next prime is 5045669. The reversal of 5045616 is 6165405.

It is a happy number.

5045616 is a `hidden beast` number, since 5 + 0 + 45 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5045616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5045611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4855 + ... + 5801.

Almost surely, 25045616 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 5045616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258836).

5045616 is an abundant number, since it is smaller than the sum of its proper divisors (9472056).

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

5045616 is a wasteful number, since it uses less digits than its factorization.

5045616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5045616 is about 2246.2448664382. The cubic root of 5045616 is about 171.5160363192.

The spelling of 5045616 in words is "five million, forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 947 1332 1776 1894 2664 2841 3788 5328 5682 7576 8523 11364 15152 17046 22728 34092 35039 45456 68184 70078 105117 136368 140156 210234 280312 315351 420468 560624 630702 840936 1261404 1681872 2522808 5045616