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40292040 = 23351719751
BaseRepresentation
bin1001100110110…
…0111011001000
32210211001021210
42121230323020
540303321130
63555333120
7666322335
oct231547310
983731253
1040292040
1120820008
12115b11a0
138469759
1454cb98c
15380d5b0
hex266cec8

40292040 has 64 divisors (see below), whose sum is σ = 127992960. Its totient is φ = 10112000.

The previous prime is 40292017. The next prime is 40292047. The reversal of 40292040 is 4029204.

40292040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40291998 and 40292016.

It is not an unprimeable number, because it can be changed into a prime (40292047) 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 15 ways as a sum of consecutive naturals, for example, 7836 + ... + 11915.

It is an arithmetic number, because the mean of its divisors is an integer number (1999890).

Almost surely, 240292040 is an apocalyptic number.

40292040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40292040 is an abundant number, since it is smaller than the sum of its proper divisors (87700920).

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

40292040 is a wasteful number, since it uses less digits than its factorization.

40292040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19782 (or 19778 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40292040 is about 6347.6011216837. The cubic root of 40292040 is about 342.8254742575.

The spelling of 40292040 in words is "forty million, two hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 19751 39502 59253 79004 98755 118506 158008 197510 237012 296265 335767 395020 474024 592530 671534 790040 1007301 1185060 1343068 1678835 2014602 2370120 2686136 3357670 4029204 5036505 6715340 8058408 10073010 13430680 20146020 40292040