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16414496 = 257127577
BaseRepresentation
bin111110100111…
…011100100000
31010212221110022
4332213130200
513200230441
61343453012
7256343450
oct76473440
933787408
1016414496
1192a14aa
1255b7168
133529427
142273d60
15169384b
hexfa7720

16414496 has 48 divisors (see below), whose sum is σ = 37287936. Its totient is φ = 6967296.

The previous prime is 16414483. The next prime is 16414511. The reversal of 16414496 is 69441461.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28160 + ... + 28736.

It is an arithmetic number, because the mean of its divisors is an integer number (776832).

Almost surely, 216414496 is an apocalyptic number.

16414496 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 16414496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643968).

16414496 is an abundant number, since it is smaller than the sum of its proper divisors (20873440).

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

16414496 is a wasteful number, since it uses less digits than its factorization.

16414496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 16414496 is about 4051.4807169725. The cubic root of 16414496 is about 254.1416532702.

The spelling of 16414496 in words is "sixteen million, four hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 577 889 1016 1154 1778 2032 2308 3556 4039 4064 4616 7112 8078 9232 14224 16156 18464 28448 32312 64624 73279 129248 146558 293116 512953 586232 1025906 1172464 2051812 2344928 4103624 8207248 16414496