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40495168 = 267237349
BaseRepresentation
bin1001101001111…
…0100001000000
32211012100221001
42122132201000
540331321133
64003541344
71001126500
oct232364100
984170831
1040495168
112094968a
121168a854
13850b04c
145541a00
15384d87d
hex269e840

40495168 has 84 divisors (see below), whose sum is σ = 96278700. Its totient is φ = 16837632.

The previous prime is 40495141. The next prime is 40495177. The reversal of 40495168 is 86159404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33269824 + 7225344 = 5768^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115858 + ... + 116206.

It is an arithmetic number, because the mean of its divisors is an integer number (1146175).

Almost surely, 240495168 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 40495168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48139350).

40495168 is an abundant number, since it is smaller than the sum of its proper divisors (55783532).

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

40495168 is a wasteful number, since it uses less digits than its factorization.

40495168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 40495168 is about 6363.5813815807. The cubic root of 40495168 is about 343.4006147926.

The spelling of 40495168 in words is "forty million, four hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 148 196 224 259 296 349 392 448 518 592 698 784 1036 1184 1396 1568 1813 2072 2368 2443 2792 3136 3626 4144 4886 5584 7252 8288 9772 11168 12913 14504 16576 17101 19544 22336 25826 29008 34202 39088 51652 58016 68404 78176 90391 103304 116032 136808 156352 180782 206608 273616 361564 413216 547232 632737 723128 826432 1094464 1265474 1446256 2530948 2892512 5061896 5785024 10123792 20247584 40495168