[go: up one dir, main page]

Search a number
-
+
26023296 = 273132401
BaseRepresentation
bin110001101000…
…1010110000000
31210222010020210
41203101112000
523130221141
62325434120
7434123445
oct143212600
953863223
1026023296
1113764762
12886b940
135511c00
1436559cc
152440916
hex18d1580

26023296 has 96 divisors (see below), whose sum is σ = 75037320. Its totient is φ = 7987200.

The previous prime is 26023211. The next prime is 26023313. The reversal of 26023296 is 69232062.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64696 + ... + 65096.

Almost surely, 226023296 is an apocalyptic number.

26023296 is a gapful number since it is divisible by the number (26) 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 26023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37518660).

26023296 is an abundant number, since it is smaller than the sum of its proper divisors (49014024).

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

26023296 is a wasteful number, since it uses less digits than its factorization.

26023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 26023296 is about 5101.3033628672. The cubic root of 26023296 is about 296.3380603105.

The spelling of 26023296 in words is "twenty-six million, twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 401 416 507 624 676 802 832 1014 1203 1248 1352 1604 1664 2028 2406 2496 2704 3208 4056 4812 4992 5213 5408 6416 8112 9624 10426 10816 12832 15639 16224 19248 20852 21632 25664 31278 32448 38496 41704 51328 62556 64896 67769 76992 83408 125112 135538 153984 166816 203307 250224 271076 333632 406614 500448 542152 667264 813228 1000896 1084304 1626456 2001792 2168608 3252912 4337216 6505824 8674432 13011648 26023296