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16972848 = 2433101389
BaseRepresentation
bin100000010111…
…1110000110000
31011221022101000
41000233300300
513321112343
61403442000
7264160344
oct100576060
934838330
1016972848
119642a52
125826300
133693609
14237b624
151753ed3
hex102fc30

16972848 has 80 divisors (see below), whose sum is σ = 49327200. Its totient is φ = 5587200.

The previous prime is 16972847. The next prime is 16972861. The reversal of 16972848 is 84827961.

It is a super-2 number, since 2×169728482 = 576155138462208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16972847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43438 + ... + 43826.

It is an arithmetic number, because the mean of its divisors is an integer number (616590).

Almost surely, 216972848 is an apocalyptic number.

16972848 is a gapful number since it is divisible by the number (18) 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 16972848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663600).

16972848 is an abundant number, since it is smaller than the sum of its proper divisors (32354352).

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

16972848 is a wasteful number, since it uses less digits than its factorization.

16972848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 495 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 16972848 is about 4119.8116461800. The cubic root of 16972848 is about 256.9911931051.

The spelling of 16972848 in words is "sixteen million, nine hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 389 404 432 606 778 808 909 1167 1212 1556 1616 1818 2334 2424 2727 3112 3501 3636 4668 4848 5454 6224 7002 7272 9336 10503 10908 14004 14544 18672 21006 21816 28008 39289 42012 43632 56016 78578 84024 117867 157156 168048 235734 314312 353601 471468 628624 707202 942936 1060803 1414404 1885872 2121606 2828808 4243212 5657616 8486424 16972848