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26226648 = 23327173061
BaseRepresentation
bin110010000001…
…0111111011000
31211100110012100
41210002333120
523203223043
62334043400
7435631350
oct144027730
954313170
1026226648
1113893518
128949560
135583636
1436a9b60
152480cd3
hex1902fd8

26226648 has 96 divisors (see below), whose sum is σ = 85980960. Its totient is φ = 7050240.

The previous prime is 26226617. The next prime is 26226653. The reversal of 26226648 is 84662262.

26226648 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 6 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7038 + ... + 10098.

It is an arithmetic number, because the mean of its divisors is an integer number (895635).

Almost surely, 226226648 is an apocalyptic number.

26226648 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 26226648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42990480).

26226648 is an abundant number, since it is smaller than the sum of its proper divisors (59754312).

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

26226648 is a wasteful number, since it uses less digits than its factorization.

26226648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3090 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 26226648 is about 5121.1959540717. The cubic root of 26226648 is about 297.1079429427.

The spelling of 26226648 in words is "twenty-six million, two hundred twenty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 2142 2856 3061 4284 6122 8568 9183 12244 18366 21427 24488 27549 36732 42854 52037 55098 64281 73464 85708 104074 110196 128562 156111 171416 192843 208148 220392 257124 312222 364259 385686 416296 468333 514248 624444 728518 771372 936666 1092777 1248888 1457036 1542744 1873332 2185554 2914072 3278331 3746664 4371108 6556662 8742216 13113324 26226648