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40078038 = 23711136673
BaseRepresentation
bin1001100011100…
…0101011010110
32210102011201210
42120320223112
540224444123
63551002250
7664441410
oct230705326
983364653
1040078038
1120694250
1211509386
1383c3220
1454739b0
1537b9e93
hex2638ad6

40078038 has 64 divisors (see below), whose sum is σ = 107638272. Its totient is φ = 9607680.

The previous prime is 40078019. The next prime is 40078039. The reversal of 40078038 is 83087004.

40078038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40077996 and 40078014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40078039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2670 + ... + 9342.

It is an arithmetic number, because the mean of its divisors is an integer number (1681848).

Almost surely, 240078038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40078038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53819136).

40078038 is an abundant number, since it is smaller than the sum of its proper divisors (67560234).

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

40078038 is a wasteful number, since it uses less digits than its factorization.

40078038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40078038 is about 6330.7217597996. The cubic root of 40078038 is about 342.2174500297.

The spelling of 40078038 in words is "forty million, seventy-eight thousand, thirty-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 6673 13346 20019 40038 46711 73403 86749 93422 140133 146806 173498 220209 260247 280266 440418 513821 520494 607243 954239 1027642 1214486 1541463 1821729 1908478 2862717 3082926 3643458 5725434 6679673 13359346 20039019 40078038