Search a number
-
+
26049984 = 2631723347
BaseRepresentation
bin110001101011…
…1110111000000
31211000110212020
41203113313000
523132044414
62330201440
7434264322
oct143276700
954013766
1026049984
1113782814
128883280
1355210bc
143661612
1524487a9
hex18d7dc0

26049984 has 112 divisors (see below), whose sum is σ = 76370688. Its totient is φ = 7794688.

The previous prime is 26049979. The next prime is 26050043. The reversal of 26049984 is 48994062.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74899 + ... + 75245.

Almost surely, 226049984 is an apocalyptic number.

26049984 is a gapful number since it is divisible by the number (24) 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 26049984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38185344).

26049984 is an abundant number, since it is smaller than the sum of its proper divisors (50320704).

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

26049984 is a wasteful number, since it uses less digits than its factorization.

26049984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 26049984 is about 5103.9184946470. The cubic root of 26049984 is about 296.4393281403.

The spelling of 26049984 in words is "twenty-six million, forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 347 368 391 408 544 552 694 736 782 816 1041 1088 1104 1173 1388 1472 1564 1632 2082 2208 2346 2776 3128 3264 4164 4416 4692 5552 5899 6256 7981 8328 9384 11104 11798 12512 15962 16656 17697 18768 22208 23596 23943 25024 31924 33312 35394 37536 47192 47886 63848 66624 70788 75072 94384 95772 127696 135677 141576 188768 191544 255392 271354 283152 377536 383088 407031 510784 542708 566304 766176 814062 1085416 1132608 1532352 1628124 2170832 3256248 4341664 6512496 8683328 13024992 26049984