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26215440 = 2435195749
BaseRepresentation
bin110010000000…
…0010000010000
31211022212211020
41210000100100
523202343230
62333515440
7435553566
oct144002020
954285736
1026215440
1113886059
128942b80
13557b4c4
1436a5a36
15247c810
hex1900410

26215440 has 80 divisors (see below), whose sum is σ = 85560000. Its totient is φ = 6621696.

The previous prime is 26215393. The next prime is 26215447. The reversal of 26215440 is 4451262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 26215440.

It is not an unprimeable number, because it can be changed into a prime (26215447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1686 + ... + 7434.

It is an arithmetic number, because the mean of its divisors is an integer number (1069500).

Almost surely, 226215440 is an apocalyptic number.

26215440 is a gapful number since it is divisible by the number (20) 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 26215440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780000).

26215440 is an abundant number, since it is smaller than the sum of its proper divisors (59344560).

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

26215440 is a wasteful number, since it uses less digits than its factorization.

26215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 26215440 is about 5120.1015614927. The cubic root of 26215440 is about 297.0656137273.

The spelling of 26215440 in words is "twenty-six million, two hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 5749 11498 17247 22996 28745 34494 45992 57490 68988 86235 91984 109231 114980 137976 172470 218462 229960 275952 327693 344940 436924 459920 546155 655386 689880 873848 1092310 1310772 1379760 1638465 1747696 2184620 2621544 3276930 4369240 5243088 6553860 8738480 13107720 26215440