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16642416 = 243749531
BaseRepresentation
bin111111011111…
…000101110000
31011022112002210
4333133011300
513230024131
61352412120
7261313110
oct77370560
934275083
1016642416
11943776a
1256a7040
1335a90ab
1422d3040
1516db146
hexfdf170

16642416 has 40 divisors (see below), whose sum is σ = 49135744. Its totient is φ = 4754880.

The previous prime is 16642399. The next prime is 16642429. The reversal of 16642416 is 61424661.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 24430 + ... + 25101.

Almost surely, 216642416 is an apocalyptic number.

16642416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16642416 is an abundant number, since it is smaller than the sum of its proper divisors (32493328).

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

16642416 is a wasteful number, since it uses less digits than its factorization.

16642416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49549 (or 49543 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 16642416 is about 4079.5117354899. The cubic root of 16642416 is about 255.3125272302.

The spelling of 16642416 in words is "sixteen million, six hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 49531 99062 148593 198124 297186 346717 396248 594372 693434 792496 1040151 1188744 1386868 2080302 2377488 2773736 4160604 5547472 8321208 16642416