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16442874 = 2327373527
BaseRepresentation
bin111110101110…
…010111111010
31010221101101100
4332232113322
513202132444
61344232230
7256522260
oct76562772
933841340
1016442874
119310858
12560b676
133539316
142280430
15169be69
hexfae5fa

16442874 has 48 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 4569696.

The previous prime is 16442869. The next prime is 16442897. The reversal of 16442874 is 47824461.

16442874 is a `hidden beast` number, since 1 + 644 + 2 + 8 + 7 + 4 = 666.

It is a super-3 number, since 3×164428743 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2899 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 216442874 is an apocalyptic number.

16442874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

16442874 is an abundant number, since it is smaller than the sum of its proper divisors (25385094).

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

16442874 is a wasteful number, since it uses less digits than its factorization.

16442874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3576 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 16442874 is about 4054.9813809684. The cubic root of 16442874 is about 254.2880255109.

The spelling of 16442874 in words is "sixteen million, four hundred forty-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 3527 4662 7054 10581 21162 24689 31743 49378 63486 74067 130499 148134 222201 260998 391497 444402 782994 913493 1174491 1826986 2348982 2740479 5480958 8221437 16442874