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40161280 = 21253753
BaseRepresentation
bin1001100100110…
…1000000000000
32210120101220211
42121031000000
540240130110
63552443504
7665236165
oct231150000
983511824
1040161280
1120740845
1211549594
138422093
14549606c
1537d498a
hex264d000

40161280 has 104 divisors (see below), whose sum is σ = 100847592. Its totient is φ = 15335424.

The previous prime is 40161239. The next prime is 40161281. The reversal of 40161280 is 8216104.

It can be written as a sum of positive squares in 4 ways, for example, as 15241216 + 24920064 = 3904^2 + 4992^2 .

It is a super-2 number, since 2×401612802 = 3225856822476800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40161281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757734 + ... + 757786.

Almost surely, 240161280 is an apocalyptic number.

40161280 is a gapful number since it is divisible by the number (40) 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 40161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50423796).

40161280 is an abundant number, since it is smaller than the sum of its proper divisors (60686312).

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

40161280 is an equidigital number, since it uses as much as digits as its factorization.

40161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 40161280 is about 6337.2927974017. The cubic root of 40161280 is about 342.4542144917.

Adding to 40161280 its reverse (8216104), we get a palindrome (48377384).

The spelling of 40161280 in words is "forty million, one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 53 64 74 80 106 128 148 160 185 212 256 265 296 320 370 424 512 530 592 640 740 848 1024 1060 1184 1280 1480 1696 1961 2048 2120 2368 2560 2960 3392 3922 4096 4240 4736 5120 5920 6784 7844 8480 9472 9805 10240 11840 13568 15688 16960 18944 19610 20480 23680 27136 31376 33920 37888 39220 47360 54272 62752 67840 75776 78440 94720 108544 125504 135680 151552 156880 189440 217088 251008 271360 313760 378880 502016 542720 627520 757760 1004032 1085440 1255040 2008064 2510080 4016128 5020160 8032256 10040320 20080640 40161280