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26032968 = 23331373127
BaseRepresentation
bin110001101001…
…1101101001000
31210222121112000
41203103231020
523131023333
62325551000
7434163603
oct143235510
953877460
1026032968
1113770a55
128875460
135516430
14365933a
152443713
hex18d3b48

26032968 has 128 divisors (see below), whose sum is σ = 79564800. Its totient is φ = 7838208.

The previous prime is 26032961. The next prime is 26032999. The reversal of 26032968 is 86923062.

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

It is not an unprimeable number, because it can be changed into a prime (26032961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204921 + ... + 205047.

It is an arithmetic number, because the mean of its divisors is an integer number (621600).

Almost surely, 226032968 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 26032968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39782400).

26032968 is an abundant number, since it is smaller than the sum of its proper divisors (53531832).

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

26032968 is a wasteful number, since it uses less digits than its factorization.

26032968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 26032968 is about 5102.2512678229. The cubic root of 26032968 is about 296.3747687877.

It can be divided in two parts, 26032 and 968, that added together give a cube (27000 = 303).

The spelling of 26032968 in words is "twenty-six million, thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 104 108 117 127 146 156 216 219 234 254 292 312 351 381 438 468 508 584 657 702 762 876 936 949 1016 1143 1314 1404 1524 1651 1752 1898 1971 2286 2628 2808 2847 3048 3302 3429 3796 3942 4572 4953 5256 5694 6604 6858 7592 7884 8541 9144 9271 9906 11388 13208 13716 14859 15768 17082 18542 19812 22776 25623 27432 27813 29718 34164 37084 39624 44577 51246 55626 59436 68328 74168 83439 89154 102492 111252 118872 120523 166878 178308 204984 222504 241046 250317 333756 356616 361569 482092 500634 667512 723138 964184 1001268 1084707 1446276 2002536 2169414 2892552 3254121 4338828 6508242 8677656 13016484 26032968