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40196736 = 27343877
BaseRepresentation
bin1001100101010…
…1101010000000
32210122012120000
42121111222000
540242243421
63553320000
7665444436
oct231255200
983565500
1040196736
1120765448
1211566000
138435268
1454a4d56
1537e0226
hex2655a80

40196736 has 80 divisors (see below), whose sum is σ = 119655690. Its totient is φ = 13395456.

The previous prime is 40196731. The next prime is 40196747. The reversal of 40196736 is 63769104.

It can be written as a sum of positive squares in only one way, i.e., 37454400 + 2742336 = 6120^2 + 1656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40196736.

It is not an unprimeable number, because it can be changed into a prime (40196731) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8430 + ... + 12306.

Almost surely, 240196736 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 40196736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59827845).

40196736 is an abundant number, since it is smaller than the sum of its proper divisors (79458954).

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

40196736 is an equidigital number, since it uses as much as digits as its factorization.

40196736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40196736 is about 6340.0895892724. The cubic root of 40196736 is about 342.5549623199.

It can be divided in two parts, 4019673 and 6, that added together give a cube (4019679 = 1593).

The spelling of 40196736 in words is "forty million, one hundred ninety-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 3877 5184 7754 10368 11631 15508 23262 31016 34893 46524 62032 69786 93048 104679 124064 139572 186096 209358 248128 279144 314037 372192 418716 496256 558288 628074 744384 837432 1116576 1256148 1488768 1674864 2233152 2512296 3349728 4466304 5024592 6699456 10049184 13398912 20098368 40196736