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40193982 = 2342271093
BaseRepresentation
bin1001100101010…
…0111110111110
32210122001210000
42121110332332
540242201412
63553255130
7665433423
oct231247676
983561700
1040193982
1120763374
12115644a6
138433c2a
1454a3d4a
1537de4dc
hex2654fbe

40193982 has 40 divisors (see below), whose sum is σ = 90543816. Its totient is φ = 13326768.

The previous prime is 40193957. The next prime is 40193983. The reversal of 40193982 is 28939104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40193983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36228 + ... + 37320.

Almost surely, 240193982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40193982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45271908).

40193982 is an abundant number, since it is smaller than the sum of its proper divisors (50349834).

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

40193982 is a wasteful number, since it uses less digits than its factorization.

40193982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 40193982 is about 6339.8723961922. The cubic root of 40193982 is about 342.5471389822.

It can be divided in two parts, 4019 and 3982, that added together give a triangular number (8001 = T126).

The spelling of 40193982 in words is "forty million, one hundred ninety-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 227 454 681 1093 1362 2043 2186 3279 4086 6129 6558 9837 12258 18387 19674 29511 36774 59022 88533 177066 248111 496222 744333 1488666 2232999 4465998 6698997 13397994 20096991 40193982