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16989552 = 2432127929
BaseRepresentation
bin100000011001…
…1110101110000
31011222011021200
41000303311300
513322131202
61404051200
7264260136
oct100636560
934864250
1016989552
119654558
125833b00
13369b0b8
142383756
151758e1c
hex1033d70

16989552 has 60 divisors (see below), whose sum is σ = 47973120. Its totient is φ = 5612544.

The previous prime is 16989547. The next prime is 16989569. The reversal of 16989552 is 25598961.

16989552 is a `hidden beast` number, since 1 + 6 + 98 + 9 + 552 = 666.

It is a super-4 number, since 4×169895524 (a number of 30 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16989498 and 16989507.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17824 + ... + 18752.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 216989552 is an apocalyptic number.

16989552 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 16989552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986560).

16989552 is an abundant number, since it is smaller than the sum of its proper divisors (30983568).

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

16989552 is a wasteful number, since it uses less digits than its factorization.

16989552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1061 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 16989552 is about 4121.8384247809. The cubic root of 16989552 is about 257.0754722903.

The spelling of 16989552 in words is "sixteen million, nine hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 929 1016 1143 1524 1858 2032 2286 2787 3048 3716 4572 5574 6096 7432 8361 9144 11148 14864 16722 18288 22296 33444 44592 66888 117983 133776 235966 353949 471932 707898 943864 1061847 1415796 1887728 2123694 2831592 4247388 5663184 8494776 16989552