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40264040 = 23519311709
BaseRepresentation
bin1001100110011…
…0000101101000
32210202121212202
42121212011220
540301422130
63554555332
7666144605
oct231460550
983677782
1040264040
1120800a73
1211598b48
138459a9b
1454c16ac
153805145
hex2666168

40264040 has 64 divisors (see below), whose sum is σ = 98496000. Its totient is φ = 14757120.

The previous prime is 40264033. The next prime is 40264043. The reversal of 40264040 is 4046204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40264043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22706 + ... + 24414.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 240264040 is an apocalyptic number.

40264040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49248000).

40264040 is an abundant number, since it is smaller than the sum of its proper divisors (58231960).

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

40264040 is a wasteful number, since it uses less digits than its factorization.

40264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40264040 is about 6345.3951807590. The cubic root of 40264040 is about 342.7460430374.

The spelling of 40264040 in words is "forty million, two hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 1709 2356 2945 3418 4712 5890 6836 8545 11780 13672 17090 23560 32471 34180 52979 64942 68360 105958 129884 162355 211916 259768 264895 324710 423832 529790 649420 1006601 1059580 1298840 2013202 2119160 4026404 5033005 8052808 10066010 20132020 40264040