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40244204 = 227111319232
BaseRepresentation
bin1001100110000…
…1001111101100
32210201121200002
42121201033230
540300303304
63554323432
7666033020
oct231411754
983647602
1040244204
1120798080
1211589578
138450a50
1454b8380
1537ee31e
hex26613ec

40244204 has 144 divisors (see below), whose sum is σ = 104052480. Its totient is φ = 13115520.

The previous prime is 40244189. The next prime is 40244207.

40244204 is nontrivially palindromic in base 10.

40244204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40244207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749737 + ... + 1749759.

Almost surely, 240244204 is an apocalyptic number.

40244204 is a gapful number since it is divisible by the number (44) 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 40244204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52026240).

40244204 is an abundant number, since it is smaller than the sum of its proper divisors (63808276).

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

40244204 is a wasteful number, since it uses less digits than its factorization.

40244204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 40244204 is about 6343.8319649877. The cubic root of 40244204 is about 342.6897494044.

It can be divided in two parts, 4024 and 4204, that added together give a palindrome (8228).

The spelling of 40244204 in words is "forty million, two hundred forty-four thousand, two hundred four".

Divisors: 1 2 4 7 11 13 14 19 22 23 26 28 38 44 46 52 76 77 91 92 133 143 154 161 182 209 247 253 266 286 299 308 322 364 418 437 494 506 529 532 572 598 644 836 874 988 1001 1012 1058 1196 1463 1729 1748 1771 2002 2093 2116 2717 2926 3059 3289 3458 3542 3703 4004 4186 4807 5434 5681 5819 5852 6118 6578 6877 6916 7084 7406 8372 9614 10051 10868 11362 11638 12236 13156 13754 14812 19019 19228 20102 22724 23023 23276 27508 33649 38038 39767 40204 40733 46046 48139 62491 67298 70357 75647 76076 79534 81466 92092 96278 110561 124982 130663 134596 140714 151294 159068 162932 192556 221122 249964 261326 281428 302588 437437 442244 522652 529529 773927 874874 914641 1059058 1437293 1547854 1749748 1829282 2118116 2874586 3095708 3658564 5749172 10061051 20122102 40244204