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16192416 = 253315441
BaseRepresentation
bin111101110001…
…001110100000
31010110122211010
4331301032200
513121124131
61335020520
7254430132
oct75611640
933418733
1016192416
11915a669
12550a740
13347c316
142217052
15164cb46
hexf713a0

16192416 has 48 divisors (see below), whose sum is σ = 43884288. Its totient is φ = 5222400.

The previous prime is 16192409. The next prime is 16192433. The reversal of 16192416 is 61429161.

It is a happy number.

16192416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 5696.

It is an arithmetic number, because the mean of its divisors is an integer number (914256).

Almost surely, 216192416 is an apocalyptic number.

16192416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16192416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942144).

16192416 is an abundant number, since it is smaller than the sum of its proper divisors (27691872).

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

16192416 is a wasteful number, since it uses less digits than its factorization.

16192416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5477 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 16192416 is about 4023.9801192352. The cubic root of 16192416 is about 252.9903082833.

The spelling of 16192416 in words is "sixteen million, one hundred ninety-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 5441 10882 16323 21764 32646 43528 65292 87056 130584 168671 174112 261168 337342 506013 522336 674684 1012026 1349368 2024052 2698736 4048104 5397472 8096208 16192416