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40272264 = 23322383293
BaseRepresentation
bin1001100110100…
…0000110001000
32210210001011100
42121220012020
540302203024
63555101400
7666210564
oct231500610
983701140
1040272264
112080716a
12115a1860
138460756
1454c46a4
1538077c9
hex2668188

40272264 has 96 divisors (see below), whose sum is σ = 115577280. Its totient is φ = 12642432.

The previous prime is 40272257. The next prime is 40272277. The reversal of 40272264 is 46227204.

It is a happy number.

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, 137302 + ... + 137594.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 240272264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40272264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57788640).

40272264 is an abundant number, since it is smaller than the sum of its proper divisors (75305016).

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

40272264 is a wasteful number, since it uses less digits than its factorization.

40272264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 40272264 is about 6346.0431766574. The cubic root of 40272264 is about 342.7693769400.

Adding to 40272264 its reverse (46227204), we get a palindrome (86499468).

The spelling of 40272264 in words is "forty million, two hundred seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 83 92 138 166 184 207 249 276 293 332 414 498 552 586 664 747 828 879 996 1172 1494 1656 1758 1909 1992 2344 2637 2988 3516 3818 5274 5727 5976 6739 7032 7636 10548 11454 13478 15272 17181 20217 21096 22908 24319 26956 34362 40434 45816 48638 53912 60651 68724 72957 80868 97276 121302 137448 145914 161736 194552 218871 242604 291828 437742 485208 559337 583656 875484 1118674 1678011 1750968 2237348 3356022 4474696 5034033 6712044 10068066 13424088 20136132 40272264