Search a number
-
+
26142768 = 2432712557
BaseRepresentation
bin110001110111…
…0100000110000
31211012012010200
41203232200300
523143032033
62332155200
7435131661
oct143564060
954165120
1026142768
11138364a3
128908b00
1355543c2
143687368
152466013
hex18ee830

26142768 has 60 divisors (see below), whose sum is σ = 74222928. Its totient is φ = 8588160.

The previous prime is 26142737. The next prime is 26142773. The reversal of 26142768 is 86724162.

It is a Cunningham number, because it is equal to 51132-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8946 + ... + 11502.

Almost surely, 226142768 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 26142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37111464).

26142768 is an abundant number, since it is smaller than the sum of its proper divisors (48080160).

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

26142768 is a wasteful number, since it uses less digits than its factorization.

26142768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642 (or 2633 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 26142768 is about 5112.9999022101. Note that the first 4 decimals coincide. The cubic root of 26142768 is about 296.7908604844.

The spelling of 26142768 in words is "twenty-six million, one hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 2557 3408 5112 5114 7671 10224 10228 15342 20456 23013 30684 40912 46026 61368 92052 122736 181547 184104 363094 368208 544641 726188 1089282 1452376 1633923 2178564 2904752 3267846 4357128 6535692 8714256 13071384 26142768