Search a number
-
+
26664768 = 2633131187
BaseRepresentation
bin110010110110…
…1111101000000
31212011201012000
41211231331000
523311233033
62351304000
7442434564
oct145557500
955151160
1026664768
11140626a9
128b1b000
1356a7b90
1437816a4
15251aa13
hex196df40

26664768 has 112 divisors (see below), whose sum is σ = 84490560. Its totient is φ = 8197632.

The previous prime is 26664767. The next prime is 26664769. The reversal of 26664768 is 86746662.

It is an interprime number because it is at equal distance from previous prime (26664767) and next prime (26664769).

It is a super-2 number, since 2×266647682 = 1422019704987648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26664761) by changing a digit.

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, 21871 + ... + 23057.

It is an arithmetic number, because the mean of its divisors is an integer number (754380).

Almost surely, 226664768 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 26664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42245280).

26664768 is an abundant number, since it is smaller than the sum of its proper divisors (57825792).

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

26664768 is a wasteful number, since it uses less digits than its factorization.

26664768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 26664768 is about 5163.7939540613. The cubic root of 26664768 is about 298.7532256907.

The spelling of 26664768 in words is "twenty-six million, six hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1187 1248 1404 1728 1872 2374 2496 2808 3561 3744 4748 5616 7122 7488 9496 10683 11232 14244 15431 18992 21366 22464 28488 30862 32049 37984 42732 46293 56976 61724 64098 75968 85464 92586 113952 123448 128196 138879 170928 185172 227904 246896 256392 277758 341856 370344 416637 493792 512784 555516 683712 740688 833274 987584 1025568 1111032 1481376 1666548 2051136 2222064 2962752 3333096 4444128 6666192 8888256 13332384 26664768