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4216992 = 2531331109
BaseRepresentation
bin10000000101100010100000
321221020121220
4100011202200
52034420432
6230215040
750562303
oct20054240
97836556
104216992
11242031a
1214b4480
13b48580
147bab3a
1558472c
hex4058a0

4216992 has 96 divisors (see below), whose sum is σ = 12418560. Its totient is φ = 1244160.

The previous prime is 4216963. The next prime is 4216999. The reversal of 4216992 is 2996124.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4216999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38634 + ... + 38742.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

Almost surely, 24216992 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 4216992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209280).

4216992 is an abundant number, since it is smaller than the sum of its proper divisors (8201568).

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

4216992 is a wasteful number, since it uses less digits than its factorization.

4216992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 4216992 is about 2053.5315921602. The cubic root of 4216992 is about 161.5601542122.

The spelling of 4216992 in words is "four million, two hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 109 124 156 186 208 218 248 312 327 372 403 416 436 496 624 654 744 806 872 992 1209 1248 1308 1417 1488 1612 1744 2418 2616 2834 2976 3224 3379 3488 4251 4836 5232 5668 6448 6758 8502 9672 10137 10464 11336 12896 13516 17004 19344 20274 22672 27032 34008 38688 40548 43927 45344 54064 68016 81096 87854 108128 131781 136032 162192 175708 263562 324384 351416 527124 702832 1054248 1405664 2108496 4216992