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26396064 = 2533137223
BaseRepresentation
bin110010010110…
…0010110100000
31211200001121000
41210230112200
523224133224
62341432000
7440235312
oct144542640
954601530
1026396064
1113999832
128a0b600
135612796
1437117b2
1524b60c9
hex192c5a0

26396064 has 96 divisors (see below), whose sum is σ = 77898240. Its totient is φ = 8695296.

The previous prime is 26396039. The next prime is 26396081. The reversal of 26396064 is 46069362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 118257 + ... + 118479.

It is an arithmetic number, because the mean of its divisors is an integer number (811440).

Almost surely, 226396064 is an apocalyptic number.

26396064 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 26396064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38949120).

26396064 is an abundant number, since it is smaller than the sum of its proper divisors (51502176).

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

26396064 is a wasteful number, since it uses less digits than its factorization.

26396064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 26396064 is about 5137.7099957082. The cubic root of 26396064 is about 297.7463120304.

The spelling of 26396064 in words is "twenty-six million, three hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 223 274 288 411 432 446 548 669 822 864 892 1096 1233 1338 1644 1784 2007 2192 2466 2676 3288 3568 3699 4014 4384 4932 5352 6021 6576 7136 7398 8028 9864 10704 12042 13152 14796 16056 19728 21408 24084 29592 30551 32112 39456 48168 59184 61102 64224 91653 96336 118368 122204 183306 192672 244408 274959 366612 488816 549918 733224 824877 977632 1099836 1466448 1649754 2199672 2932896 3299508 4399344 6599016 8798688 13198032 26396064