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2426042016 = 2536103997
BaseRepresentation
bin1001000010011010…
…0111011010100000
320021002000201000000
42100212213122200
514432031321031
61040422300000
7114056005536
oct22046473240
96232021000
102426042016
11103548a302
12578587600
132c8806228
141902bc156
15e2ebc3e6
hex909a76a0

2426042016 has 84 divisors (see below), whose sum is σ = 7161198282. Its totient is φ = 808672896.

The previous prime is 2426041993. The next prime is 2426042039. The reversal of 2426042016 is 6102406242.

2426042016 is a `hidden beast` number, since 2 + 42 + 604 + 2 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2426041993) and next prime (2426042039).

It can be written as a sum of positive squares in only one way, i.e., 2207120400 + 218921616 = 46980^2 + 14796^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 28671 + ... + 75326.

Almost surely, 22426042016 is an apocalyptic number.

It is an amenable number.

2426042016 is an abundant number, since it is smaller than the sum of its proper divisors (4735156266).

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

2426042016 is an equidigital number, since it uses as much as digits as its factorization.

2426042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104025 (or 104002 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2426042016 is about 49254.8679421638. The cubic root of 2426042016 is about 1343.6910960990.

Adding to 2426042016 its reverse (6102406242), we get a palindrome (8528448258).

The spelling of 2426042016 in words is "two billion, four hundred twenty-six million, forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 103997 207994 311991 415988 623982 831976 935973 1247964 1663952 1871946 2495928 2807919 3327904 3743892 4991856 5615838 7487784 8423757 9983712 11231676 14975568 16847514 22463352 25271271 29951136 33695028 44926704 50542542 67390056 75813813 89853408 101085084 134780112 151627626 202170168 269560224 303255252 404340336 606510504 808680672 1213021008 2426042016