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2440042032 = 2432379101277
BaseRepresentation
bin1001000101110000…
…0001011000110000
320022001100222102010
42101130001120300
514444122321112
61042042322520
7114316005111
oct22134013060
96261328363
102440042032
11104238176a
125811b9440
132cb69866c
141920c4208
15e433563c
hex91701630

2440042032 has 160 divisors (see below), whose sum is σ = 6750996480. Its totient is φ = 757785600.

The previous prime is 2440042027. The next prime is 2440042043. The reversal of 2440042032 is 2302400442.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8808678 + ... + 8808954.

It is an arithmetic number, because the mean of its divisors is an integer number (42193728).

Almost surely, 22440042032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375498240).

2440042032 is an abundant number, since it is smaller than the sum of its proper divisors (4310954448).

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

2440042032 is a wasteful number, since it uses less digits than its factorization.

2440042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2440042032 is about 49396.7815955655. The cubic root of 2440042032 is about 1346.2708297544.

Adding to 2440042032 its reverse (2302400442), we get a palindrome (4742442474).

The spelling of 2440042032 in words is "two billion, four hundred forty million, forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 101 138 158 184 202 237 276 277 303 316 368 404 474 552 554 606 632 808 831 948 1104 1108 1212 1264 1616 1662 1817 1896 2216 2323 2424 3324 3634 3792 4432 4646 4848 5451 6371 6648 6969 7268 7979 9292 10902 12742 13296 13938 14536 15958 18584 19113 21804 21883 23937 25484 27876 27977 29072 31916 37168 38226 43608 43766 47874 50968 55752 55954 63832 65649 76452 83931 87216 87532 95748 101936 111504 111908 127664 131298 152904 167862 175064 183517 191496 223816 262596 305808 335724 350128 367034 382992 447632 503309 525192 550551 643471 671448 734068 1006618 1050384 1101102 1286942 1342896 1468136 1509927 1930413 2013236 2202204 2210183 2573884 2936272 3019854 3860826 4026472 4404408 4420366 5147768 6039708 6630549 7721652 8052944 8808816 8840732 10295536 12079416 13261098 15443304 17681464 24158832 26522196 30886608 35362928 50834209 53044392 101668418 106088784 152502627 203336836 305005254 406673672 610010508 813347344 1220021016 2440042032