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40301226 = 234725077
BaseRepresentation
bin1001100110111…
…1001010101010
32210211111220000
42121233022222
540304114401
63555443430
7666361200
oct231571252
983744800
1040301226
11208269a9
12115b6576
1384709a4
1454d1070
153811186
hex266f2aa

40301226 has 60 divisors (see below), whose sum is σ = 105068898. Its totient is φ = 11512368.

The previous prime is 40301207. The next prime is 40301263. The reversal of 40301226 is 62210304.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23532201 + 16769025 = 4851^2 + 4095^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40301199 and 40301208.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5400 + ... + 10476.

Almost surely, 240301226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40301226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52534449).

40301226 is an abundant number, since it is smaller than the sum of its proper divisors (64767672).

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

40301226 is a wasteful number, since it uses less digits than its factorization.

40301226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40301226 is about 6348.3246608849. The cubic root of 40301226 is about 342.8515253544.

The spelling of 40301226 in words is "forty million, three hundred one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 5077 7938 10154 15231 30462 35539 45693 71078 91386 106617 137079 213234 248773 274158 319851 411237 497546 639702 746319 822474 959553 1492638 1919106 2238957 2878659 4477914 5757318 6716871 13433742 20150613 40301226