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1426050624 = 26319439091
BaseRepresentation
bin101010011111111…
…1100111001000000
310200101100212200210
41110333330321000
510410032104444
6353301114120
750224141665
oct12477747100
93611325623
101426050624
11671a71a39
123396b8940
1319959cc4b
14d7573a6c
15852dd7b9
hex54ffce40

1426050624 has 112 divisors (see below), whose sum is σ = 4064487680. Its totient is φ = 439810560.

The previous prime is 1426050601. The next prime is 1426050629. The reversal of 1426050624 is 4260506241.

It is a junction number, because it is equal to n+sod(n) for n = 1426050591 and 1426050600.

It is not an unprimeable number, because it can be changed into a prime (1426050629) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 152319 + ... + 161409.

Almost surely, 21426050624 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 1426050624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032243840).

1426050624 is an abundant number, since it is smaller than the sum of its proper divisors (2638437056).

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

1426050624 is a wasteful number, since it uses less digits than its factorization.

1426050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9168 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1426050624 is about 37763.0854671596. The cubic root of 1426050624 is about 1125.5850452311.

Adding to 1426050624 its reverse (4260506241), we get a palindrome (5686556865).

The spelling of 1426050624 in words is "one billion, four hundred twenty-six million, fifty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 64 76 86 96 114 129 152 172 192 228 258 304 344 456 516 608 688 817 912 1032 1216 1376 1634 1824 2064 2451 2752 3268 3648 4128 4902 6536 8256 9091 9804 13072 18182 19608 26144 27273 36364 39216 52288 54546 72728 78432 109092 145456 156864 172729 218184 290912 345458 390913 436368 518187 581824 690916 781826 872736 1036374 1172739 1381832 1563652 1745472 2072748 2345478 2763664 3127304 4145496 4690956 5527328 6254608 7427347 8290992 9381912 11054656 12509216 14854694 16581984 18763824 22282041 25018432 29709388 33163968 37527648 44564082 59418776 75055296 89128164 118837552 178256328 237675104 356512656 475350208 713025312 1426050624