[go: up one dir, main page]

Search a number
-
+
26257224 = 2337732141
BaseRepresentation
bin110010000101…
…0011101001000
31211102000010210
41210022131020
523210212344
62334441120
7436116450
oct144123510
954360123
1026257224
1113904494
1289631a0
135594526
1436b6d60
152489db9
hex190a748

26257224 has 64 divisors (see below), whose sum is σ = 76083840. Its totient is φ = 7395840.

The previous prime is 26257223. The next prime is 26257241. The reversal of 26257224 is 42275262.

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

It is a junction number, because it is equal to n+sod(n) for n = 26257191 and 26257200.

It is not an unprimeable number, because it can be changed into a prime (26257223) 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, 11194 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (1188810).

Almost surely, 226257224 is an apocalyptic number.

26257224 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 26257224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38041920).

26257224 is an abundant number, since it is smaller than the sum of its proper divisors (49826616).

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

26257224 is a wasteful number, since it uses less digits than its factorization.

26257224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2226 counting only the distinct ones).

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

The square root of 26257224 is about 5124.1803246958. The cubic root of 26257224 is about 297.2233579263.

The spelling of 26257224 in words is "twenty-six million, two hundred fifty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 2141 3066 4088 4282 6132 6423 8564 12264 12846 14987 17128 25692 29974 44961 51384 59948 89922 119896 156293 179844 312586 359688 468879 625172 937758 1094051 1250344 1875516 2188102 3282153 3751032 4376204 6564306 8752408 13128612 26257224