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40423040 = 275721289
BaseRepresentation
bin1001101000110…
…0111010000000
32211001200222122
42122030322000
540322014130
64002223412
71000406300
oct232147200
984050878
1040423040
11208aa479
1211654b68
1384b4278
145523600
1538372e5
hex268ce80

40423040 has 96 divisors (see below), whose sum is σ = 112500900. Its totient is φ = 13848576.

The previous prime is 40423001. The next prime is 40423057. The reversal of 40423040 is 4032404.

It can be written as a sum of positive squares in 2 ways, for example, as 40043584 + 379456 = 6328^2 + 616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30716 + ... + 32004.

Almost surely, 240423040 is an apocalyptic number.

40423040 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 40423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56250450).

40423040 is an abundant number, since it is smaller than the sum of its proper divisors (72077860).

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

40423040 is a wasteful number, since it uses less digits than its factorization.

40423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 40423040 is about 6357.9116068093. The cubic root of 40423040 is about 343.1966108666.

Adding to 40423040 its reverse (4032404), we get a palindrome (44455444).

The spelling of 40423040 in words is "forty million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1289 1568 1960 2240 2578 3136 3920 4480 5156 6272 6445 7840 9023 10312 12890 15680 18046 20624 25780 31360 36092 41248 45115 51560 63161 72184 82496 90230 103120 126322 144368 164992 180460 206240 252644 288736 315805 360920 412480 505288 577472 631610 721840 824960 1010576 1154944 1263220 1443680 2021152 2526440 2887360 4042304 5052880 5774720 8084608 10105760 20211520 40423040