Search a number
-
+
26254272 = 2631131401
BaseRepresentation
bin110010000100…
…1101111000000
31211101212002110
41210021233000
523210114042
62334415320
7436105032
oct144115700
954355073
1026254272
1113902250
128961540
135593095
1436b5c52
15248909c
hex1909bc0

26254272 has 112 divisors (see below), whose sum is σ = 78418944. Its totient is φ = 7680000.

The previous prime is 26254271. The next prime is 26254279. The reversal of 26254272 is 27245262.

Its product of digits (13440) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26254271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65272 + ... + 65672.

Almost surely, 226254272 is an apocalyptic number.

26254272 is a gapful number since it is divisible by the number (22) 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 26254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39209472).

26254272 is an abundant number, since it is smaller than the sum of its proper divisors (52164672).

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

26254272 is a wasteful number, since it uses less digits than its factorization.

26254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 448 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 26254272 is about 5123.8922705303. The cubic root of 26254272 is about 297.2122189443.

The spelling of 26254272 in words is "twenty-six million, two hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 401 496 528 682 704 744 802 992 1023 1056 1203 1364 1488 1604 1984 2046 2112 2406 2728 2976 3208 4092 4411 4812 5456 5952 6416 8184 8822 9624 10912 12431 12832 13233 16368 17644 19248 21824 24862 25664 26466 32736 35288 37293 38496 49724 52932 65472 70576 74586 76992 99448 105864 136741 141152 149172 198896 211728 273482 282304 298344 397792 410223 423456 546964 596688 795584 820446 846912 1093928 1193376 1640892 2187856 2386752 3281784 4375712 6563568 8751424 13127136 26254272