Search a number
-
+
16289152 = 271123503
BaseRepresentation
bin111110001000…
…110110000000
31010122120111221
4332020312000
513132223102
61341044424
7255312145
oct76106600
933576457
1016289152
119216310
125556714
1334b4369
1422403cc
15166b637
hexf88d80

16289152 has 64 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 7068160.

The previous prime is 16289123. The next prime is 16289153. The reversal of 16289152 is 25198261.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16289153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32133 + ... + 32635.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 216289152 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 16289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

16289152 is an abundant number, since it is smaller than the sum of its proper divisors (20724608).

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

16289152 is a wasteful number, since it uses less digits than its factorization.

16289152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 539 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 16289152 is about 4035.9821605156. The cubic root of 16289152 is about 253.4931094273.

The spelling of 16289152 in words is "sixteen million, two hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 503 506 704 736 1006 1012 1408 1472 2012 2024 2944 4024 4048 5533 8048 8096 11066 11569 16096 16192 22132 23138 32192 32384 44264 46276 64384 88528 92552 127259 177056 185104 254518 354112 370208 509036 708224 740416 1018072 1480832 2036144 4072288 8144576 16289152