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16474272 = 253712417
BaseRepresentation
bin111110110110…
…000010100000
31010222222110020
4332312002200
513204134042
61345033440
7260012643
oct76660240
933888406
1016474272
119332401
125625880
13354a6b9
14228ba5a
1516a63ec
hexfb60a0

16474272 has 48 divisors (see below), whose sum is σ = 43872192. Its totient is φ = 5411840.

The previous prime is 16474267. The next prime is 16474277. The reversal of 16474272 is 27247461.

It is an interprime number because it is at equal distance from previous prime (16474267) and next prime (16474277).

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

It is not an unprimeable number, because it can be changed into a prime (16474277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5608 + ... + 8024.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 216474272 is an apocalyptic number.

16474272 is a gapful number since it is divisible by the number (12) 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 16474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096).

16474272 is an abundant number, since it is smaller than the sum of its proper divisors (27397920).

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

16474272 is a wasteful number, since it uses less digits than its factorization.

16474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2493 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 16474272 is about 4058.8510689603. The cubic root of 16474272 is about 254.4497786378.

The spelling of 16474272 in words is "sixteen million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 2417 3408 4834 6816 7251 9668 14502 19336 29004 38672 58008 77344 116016 171607 232032 343214 514821 686428 1029642 1372856 2059284 2745712 4118568 5491424 8237136 16474272