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16082484 = 22311731669
BaseRepresentation
bin111101010110…
…011000110100
31010021002000120
4331112120310
513104114414
61332411540
7253461465
oct75263064
933232016
1016082484
119095010
125476bb0
133441282
1421c8d6c
15162a2a9
hexf56634

16082484 has 48 divisors (see below), whose sum is σ = 41522880. Its totient is φ = 4803840.

The previous prime is 16082471. The next prime is 16082509. The reversal of 16082484 is 48428061.

It is a super-2 number, since 2×160824842 = 517292583220512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8802 + ... + 10470.

It is an arithmetic number, because the mean of its divisors is an integer number (865060).

Almost surely, 216082484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16082484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20761440).

16082484 is an abundant number, since it is smaller than the sum of its proper divisors (25440396).

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

16082484 is a wasteful number, since it uses less digits than its factorization.

16082484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 16082484 is about 4010.2972458410. The cubic root of 16082484 is about 252.4164818707.

The spelling of 16082484 in words is "sixteen million, eighty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1606 1669 2409 3212 3338 4818 5007 6676 9636 10014 18359 20028 36718 55077 73436 110154 121837 220308 243674 365511 487348 731022 1340207 1462044 2680414 4020621 5360828 8041242 16082484