Search a number
-
+
26774048 = 257177989
BaseRepresentation
bin110011000100…
…0101000100000
31212101021002102
41212020220200
523323232143
62353505532
7443401310
oct146105040
955337072
1026774048
1114127814
128b722a8
135715842
1437ad440
15253d0b8
hex1988a20

26774048 has 96 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 10543104.

The previous prime is 26773979. The next prime is 26774053. The reversal of 26774048 is 84047762.

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, 300788 + ... + 300876.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 226774048 is an apocalyptic number.

26774048 is a gapful number since it is divisible by the number (28) 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 26774048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

26774048 is an abundant number, since it is smaller than the sum of its proper divisors (38544352).

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

26774048 is a wasteful number, since it uses less digits than its factorization.

26774048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 26774048 is about 5174.3645020427. The cubic root of 26774048 is about 299.1607953817.

The spelling of 26774048 in words is "twenty-six million, seven hundred seventy-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 79 89 112 119 136 158 178 224 238 272 316 356 476 544 553 623 632 712 952 1106 1246 1264 1343 1424 1513 1904 2212 2492 2528 2686 2848 3026 3808 4424 4984 5372 6052 7031 8848 9401 9968 10591 10744 12104 14062 17696 18802 19936 21182 21488 24208 28124 37604 42364 42976 48416 49217 56248 75208 84728 98434 112496 119527 150416 169456 196868 224992 239054 300832 338912 393736 478108 787472 836689 956216 1574944 1673378 1912432 3346756 3824864 6693512 13387024 26774048