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40297104 = 2432234
BaseRepresentation
bin1001100110111…
…0001010010000
32210211022020100
42121232022100
540304001404
63555412400
7666343161
oct231561220
983738210
1040297104
11208238a1
12115b4100
13846bb53
1454cd768
15380ed39
hex266e290

40297104 has 75 divisors (see below), whose sum is σ = 117902083. Its totient is φ = 12848352.

The previous prime is 40297097. The next prime is 40297109. The reversal of 40297104 is 40179204.

It is a happy number.

The square root of 40297104 is 6348.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40297109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1752037 + ... + 1752059.

Almost surely, 240297104 is an apocalyptic number.

40297104 is the 6348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40297104

40297104 is an abundant number, since it is smaller than the sum of its proper divisors (77604979).

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

40297104 is an frugal number, since it uses more digits than its factorization.

40297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The cubic root of 40297104 is about 342.8398360312.

It can be divided in two parts, 40297 and 104, that added together give a square (40401 = 2012).

The spelling of 40297104 in words is "forty million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 529 552 828 1058 1104 1587 1656 2116 3174 3312 4232 4761 6348 8464 9522 12167 12696 19044 24334 25392 36501 38088 48668 73002 76176 97336 109503 146004 194672 219006 279841 292008 438012 559682 584016 839523 876024 1119364 1679046 1752048 2238728 2518569 3358092 4477456 5037138 6716184 10074276 13432368 20148552 40297104