Search a number
-
+
16468496 = 2411137683
BaseRepresentation
bin111110110100…
…101000010000
31010222200112022
4332310220100
513203442441
61344551012
7256660052
oct76645020
933880468
1016468496
119329030
125622468
133547b95
1422898d2
1516a484b
hexfb4a10

16468496 has 40 divisors (see below), whose sum is σ = 35113824. Its totient is φ = 7420160.

The previous prime is 16468489. The next prime is 16468519. The reversal of 16468496 is 69486461.

It is a super-2 number, since 2×164684962 = 542422721004032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 23771 + ... + 24453.

Almost surely, 216468496 is an apocalyptic number.

16468496 is a gapful number since it is divisible by the number (16) 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 16468496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556912).

16468496 is an abundant number, since it is smaller than the sum of its proper divisors (18645328).

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

16468496 is a wasteful number, since it uses less digits than its factorization.

16468496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 833 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 16468496 is about 4058.1394751782. The cubic root of 16468496 is about 254.4200378452.

The spelling of 16468496 in words is "sixteen million, four hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 137 176 274 548 683 1096 1366 1507 2192 2732 3014 5464 6028 7513 10928 12056 15026 24112 30052 60104 93571 120208 187142 374284 748568 1029281 1497136 2058562 4117124 8234248 16468496