Search a number
-
+
26336142 = 23271971061
BaseRepresentation
bin110010001110…
…1101110001110
31211120000101200
41210131232032
523220224032
62340250330
7436565520
oct144355616
954500350
1026336142
1113958808
1289a09a6
1355c1421
1436d7a10
1524a347c
hex191db8e

26336142 has 48 divisors (see below), whose sum is σ = 65606112. Its totient is φ = 7479360.

The previous prime is 26336129. The next prime is 26336161. The reversal of 26336142 is 24163362.

26336142 is a `hidden beast` number, since 263 + 361 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24292 + ... + 25352.

It is an arithmetic number, because the mean of its divisors is an integer number (1366794).

Almost surely, 226336142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26336142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32803056).

26336142 is an abundant number, since it is smaller than the sum of its proper divisors (39269970).

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

26336142 is a wasteful number, since it uses less digits than its factorization.

26336142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1270 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 26336142 is about 5131.8750959079. The cubic root of 26336142 is about 297.5208355814.

The spelling of 26336142 in words is "twenty-six million, three hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 197 394 591 1061 1182 1379 1773 2122 2758 3183 3546 4137 6366 7427 8274 9549 12411 14854 19098 22281 24822 44562 66843 133686 209017 418034 627051 1254102 1463119 1881153 2926238 3762306 4389357 8778714 13168071 26336142