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26990304 = 2531161419
BaseRepresentation
bin110011011110…
…1011011100000
31212210020201220
41212331123200
523402142204
62402255040
7445261635
oct146753340
955706656
1026990304
1114265240
129057480
1357900c3
14382818c
1525821d9
hex19bd6e0

26990304 has 96 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 8025600.

The previous prime is 26990297. The next prime is 26990311. The reversal of 26990304 is 40309962.

It is an interprime number because it is at equal distance from previous prime (26990297) and next prime (26990311).

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 (33).

It is a congruent number.

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, 64207 + ... + 64625.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 226990304 is an apocalyptic number.

26990304 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 26990304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

26990304 is an abundant number, since it is smaller than the sum of its proper divisors (51754656).

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

26990304 is a wasteful number, since it uses less digits than its factorization.

26990304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 26990304 is about 5195.2193408941. The cubic root of 26990304 is about 299.9640845893.

The spelling of 26990304 in words is "twenty-six million, nine hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 122 132 176 183 244 264 352 366 419 488 528 671 732 838 976 1056 1257 1342 1464 1676 1952 2013 2514 2684 2928 3352 4026 4609 5028 5368 5856 6704 8052 9218 10056 10736 13408 13827 16104 18436 20112 21472 25559 27654 32208 36872 40224 51118 55308 64416 73744 76677 102236 110616 147488 153354 204472 221232 281149 306708 408944 442464 562298 613416 817888 843447 1124596 1226832 1686894 2249192 2453664 3373788 4498384 6747576 8996768 13495152 26990304