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1424416026 = 2311172943777
BaseRepresentation
bin101010011100110…
…1101110100011010
310200021021211110010
41110321231310122
510404122303101
6353202102350
750204223255
oct12471556432
93607254403
101424416026
11671055930
1233904a9b6
13199149c27
14d726a09c
15850b92d6
hex54e6dd1a

1424416026 has 64 divisors (see below), whose sum is σ = 3404177280. Its totient is φ = 392232960.

The previous prime is 1424416003. The next prime is 1424416039. The reversal of 1424416026 is 6206144241.

It is a happy number.

It is a super-2 number, since 2×14244160262 = 4057922030251265352, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1424415984 and 1424416002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10650 + ... + 54426.

It is an arithmetic number, because the mean of its divisors is an integer number (53190270).

Almost surely, 21424416026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424416026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702088640).

1424416026 is an abundant number, since it is smaller than the sum of its proper divisors (1979761254).

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

1424416026 is a wasteful number, since it uses less digits than its factorization.

1424416026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43839.

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1424416026 is about 37741.4364591492. The cubic root of 1424416026 is about 1125.1548168174.

The spelling of 1424416026 in words is "one billion, four hundred twenty-four million, four hundred sixteen thousand, twenty-six".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 319 374 493 561 638 957 986 1122 1479 1914 2958 5423 10846 16269 32538 43777 87554 131331 262662 481547 744209 963094 1269533 1444641 1488418 2232627 2539066 2889282 3808599 4465254 7617198 8186299 13964863 16372598 21582061 24558897 27929726 41894589 43164122 49117794 64746183 83789178 129492366 237402671 474805342 712208013 1424416026