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40220264 = 23719103367
BaseRepresentation
bin1001100101101…
…1011001101000
32210200101211102
42121123121220
540244022024
63554020532
7665603150
oct231333150
983611742
1040220264
1120781097
1211577748
138442b96
1454ad760
1537e71ae
hex265b668

40220264 has 64 divisors (see below), whose sum is σ = 91852800. Its totient is φ = 16127424.

The previous prime is 40220263. The next prime is 40220273. The reversal of 40220264 is 46202204.

40220264 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 (40220263) 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 15 ways as a sum of consecutive naturals, for example, 109409 + ... + 109775.

It is an arithmetic number, because the mean of its divisors is an integer number (1435200).

Almost surely, 240220264 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 40220264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45926400).

40220264 is an abundant number, since it is smaller than the sum of its proper divisors (51632536).

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

40220264 is a wasteful number, since it uses less digits than its factorization.

40220264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40220264 is about 6341.9448121219. The cubic root of 40220264 is about 342.6217841730.

Adding to 40220264 its reverse (46202204), we get a palindrome (86422468).

The spelling of 40220264 in words is "forty million, two hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 103 133 152 206 266 367 412 532 721 734 824 1064 1442 1468 1957 2569 2884 2936 3914 5138 5768 6973 7828 10276 13699 13946 15656 20552 27398 27892 37801 48811 54796 55784 75602 97622 109592 151204 195244 264607 302408 390488 529214 718219 1058428 1436438 2116856 2872876 5027533 5745752 10055066 20110132 40220264