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26430864 = 2432389269
BaseRepresentation
bin110010011010…
…0110110010000
31211201211022220
41210310312100
523231241424
62342301040
7440441625
oct144646620
954654286
1026430864
1113a12999
128a27780
135625585
14372034c
1524c1579
hex1934d90

26430864 has 80 divisors (see below), whose sum is σ = 72316800. Its totient is φ = 8301568.

The previous prime is 26430863. The next prime is 26430871. The reversal of 26430864 is 46803462.

It is a super-3 number, since 3×264308643 (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (26430863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 98122 + ... + 98390.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 226430864 is an apocalyptic number.

26430864 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 26430864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36158400).

26430864 is an abundant number, since it is smaller than the sum of its proper divisors (45885936).

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

26430864 is a wasteful number, since it uses less digits than its factorization.

26430864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 26430864 is about 5141.0956030792. The cubic root of 26430864 is about 297.8771020035.

The spelling of 26430864 in words is "twenty-six million, four hundred thirty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 269 276 356 368 534 538 552 712 807 1068 1076 1104 1424 1614 2047 2136 2152 3228 4094 4272 4304 6141 6187 6456 8188 12282 12374 12912 16376 18561 23941 24564 24748 32752 37122 47882 49128 49496 71823 74244 95764 98256 98992 143646 148488 191528 287292 296976 383056 550643 574584 1101286 1149168 1651929 2202572 3303858 4405144 6607716 8810288 13215432 26430864