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40182138 = 23231107673
BaseRepresentation
bin1001100101001…
…0000101111010
32210121110112100
42121102011322
540241312023
63553124230
7665354043
oct231220572
983543470
1040182138
1120755487
1211559676
13842b719
14549d8ca
1537dac43
hex265217a

40182138 has 48 divisors (see below), whose sum is σ = 90844416. Its totient is φ = 12821760.

The previous prime is 40182119. The next prime is 40182151. The reversal of 40182138 is 83128104.

It is a super-2 number, since 2×401821382 = 3229208428502088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59370 + ... + 60042.

It is an arithmetic number, because the mean of its divisors is an integer number (1892592).

Almost surely, 240182138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40182138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45422208).

40182138 is an abundant number, since it is smaller than the sum of its proper divisors (50662278).

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

40182138 is a wasteful number, since it uses less digits than its factorization.

40182138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 40182138 is about 6338.9382391691. The cubic root of 40182138 is about 342.5134894433.

The spelling of 40182138 in words is "forty million, one hundred eighty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 107 186 214 279 321 558 642 673 963 1346 1926 2019 3317 4038 6057 6634 9951 12114 19902 20863 29853 41726 59706 62589 72011 125178 144022 187767 216033 375534 432066 648099 1296198 2232341 4464682 6697023 13394046 20091069 40182138