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26252040 = 2335317057
BaseRepresentation
bin110010000100…
…1001100001000
31211101202000210
41210021030020
523210031130
62334401120
7436065363
oct144111410
954352023
1026252040
1113900601
1289601a0
135592069
1436b50da
1524885b0
hex1909308

26252040 has 64 divisors (see below), whose sum is σ = 81308160. Its totient is φ = 6773760.

The previous prime is 26252033. The next prime is 26252069. The reversal of 26252040 is 4025262.

It is a junction number, because it is equal to n+sod(n) for n = 26251998 and 26252016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 7248.

It is an arithmetic number, because the mean of its divisors is an integer number (1270440).

Almost surely, 226252040 is an apocalyptic number.

26252040 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 26252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40654080).

26252040 is an abundant number, since it is smaller than the sum of its proper divisors (55056120).

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

26252040 is a wasteful number, since it uses less digits than its factorization.

26252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 26252040 is about 5123.6744627269. The cubic root of 26252040 is about 297.2037962329.

The spelling of 26252040 in words is "twenty-six million, two hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 7057 14114 21171 28228 35285 42342 56456 70570 84684 105855 141140 169368 211710 218767 282280 423420 437534 656301 846840 875068 1093835 1312602 1750136 2187670 2625204 3281505 4375340 5250408 6563010 8750680 13126020 26252040