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26430264 = 233272292
BaseRepresentation
bin110010011010…
…0101100111000
31211201210111200
41210310230320
523231232024
62342254200
7440440110
oct144645470
954653450
1026430264
1113a124a3
128a27360
135625213
143720040
1524c12c9
hex1934b38

26430264 has 72 divisors (see below), whose sum is σ = 82166760. Its totient is φ = 7518528.

The previous prime is 26430203. The next prime is 26430277. The reversal of 26430264 is 46203462.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115302 + ... + 115530.

It is an arithmetic number, because the mean of its divisors is an integer number (1141205).

Almost surely, 226430264 is an apocalyptic number.

26430264 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 26430264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41083380).

26430264 is an abundant number, since it is smaller than the sum of its proper divisors (55736496).

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

26430264 is a wasteful number, since it uses less digits than its factorization.

26430264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 26430264 is about 5141.0372494274. The cubic root of 26430264 is about 297.8748479769.

The spelling of 26430264 in words is "twenty-six million, four hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 229 252 458 504 687 916 1374 1603 1832 2061 2748 3206 4122 4809 5496 6412 8244 9618 12824 14427 16488 19236 28854 38472 52441 57708 104882 115416 157323 209764 314646 367087 419528 471969 629292 734174 943938 1101261 1258584 1468348 1887876 2202522 2936696 3303783 3775752 4405044 6607566 8810088 13215132 26430264