Search a number
-
+
1426075464 = 23311172910957
BaseRepresentation
bin101010100000000…
…0010111101001000
310200101102010202210
41111000002331020
510410033403324
6353301425120
750224304262
oct12500027510
93611363683
101426075464
11671a89670
1233970b1a0
131995ab348
14d757cb32
15852e5d29
hex55002f48

1426075464 has 128 divisors (see below), whose sum is σ = 4260470400. Its totient is φ = 392663040.

The previous prime is 1426075439. The next prime is 1426075487. The reversal of 1426075464 is 4645706241.

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, 124674 + ... + 135630.

It is an arithmetic number, because the mean of its divisors is an integer number (33284925).

Almost surely, 21426075464 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 1426075464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130235200).

1426075464 is an abundant number, since it is smaller than the sum of its proper divisors (2834394936).

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

1426075464 is a wasteful number, since it uses less digits than its factorization.

1426075464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11023 (or 11019 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 1426075464 is about 37763.4143583442. The cubic root of 1426075464 is about 1125.5915806162.

The spelling of 1426075464 in words is "one billion, four hundred twenty-six million, seventy-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 29 33 34 44 51 58 66 68 87 88 102 116 132 136 174 187 204 232 264 319 348 374 408 493 561 638 696 748 957 986 1122 1276 1479 1496 1914 1972 2244 2552 2958 3828 3944 4488 5423 5916 7656 10846 10957 11832 16269 21692 21914 32538 32871 43384 43828 65076 65742 87656 120527 130152 131484 186269 241054 262968 317753 361581 372538 482108 558807 635506 723162 745076 953259 964216 1117614 1271012 1446324 1490152 1906518 2048959 2235228 2542024 2892648 3495283 3813036 4097918 4470456 5401801 6146877 6990566 7626072 8195836 10485849 10803602 12293754 13981132 16205403 16391672 20971698 21607204 24587508 27962264 32410806 41943396 43214408 49175016 59419811 64821612 83886792 118839622 129643224 178259433 237679244 356518866 475358488 713037732 1426075464