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40715168 = 2513971009
BaseRepresentation
bin1001101101010…
…0001110100000
32211121112201012
42123110032200
540410341133
64012400052
71003034054
oct233241640
984545635
1040715168
1120a899aa
1211776028
138587220
14559bc64
153893b48
hex26d43a0

40715168 has 48 divisors (see below), whose sum is σ = 87300360. Its totient is φ = 18579456.

The previous prime is 40715149. The next prime is 40715189. The reversal of 40715168 is 86151704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23309584 + 17405584 = 4828^2 + 4172^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39848 + ... + 40856.

Almost surely, 240715168 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 40715168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43650180).

40715168 is an abundant number, since it is smaller than the sum of its proper divisors (46585192).

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

40715168 is a wasteful number, since it uses less digits than its factorization.

40715168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 40715168 is about 6380.8438313439. The cubic root of 40715168 is about 344.0213615723.

The spelling of 40715168 in words is "forty million, seven hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 388 416 776 1009 1261 1552 2018 2522 3104 4036 5044 8072 10088 13117 16144 20176 26234 32288 40352 52468 97873 104936 195746 209872 391492 419744 782984 1272349 1565968 2544698 3131936 5089396 10178792 20357584 40715168