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1027494426 = 237219419439
BaseRepresentation
bin111101001111100…
…101001000011010
32122121102010101010
4331033211020122
54101014310201
6245542434350
734314362400
oct7517451032
92577363333
101027494426
11487aa2852
122481329b6
13134b4588a
149a667470
1560312bd6
hex3d3e521a

1027494426 has 96 divisors (see below), whose sum is σ = 2528064000. Its totient is φ = 276823008.

The previous prime is 1027494421. The next prime is 1027494427. The reversal of 1027494426 is 6244947201.

It is a super-2 number, since 2×10274944262 = 2111489590922138952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1027494421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340315 + ... + 2340753.

It is an arithmetic number, because the mean of its divisors is an integer number (26334000).

Almost surely, 21027494426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027494426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264032000).

1027494426 is an abundant number, since it is smaller than the sum of its proper divisors (1500569574).

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

1027494426 is a wasteful number, since it uses less digits than its factorization.

1027494426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1027494426 is about 32054.5539042427. The cubic root of 1027494426 is about 1009.0820748738.

The spelling of 1027494426 in words is "one billion, twenty-seven million, four hundred ninety-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 419 439 798 838 878 931 1257 1317 1862 2514 2634 2793 2933 3073 5586 5866 6146 7961 8341 8799 9219 15922 16682 17598 18438 20531 21511 23883 25023 41062 43022 47766 50046 55727 58387 61593 64533 111454 116774 123186 129066 167181 175161 183941 334362 350322 367882 390089 408709 551823 780178 817418 1103646 1170267 1226127 1287587 2340534 2452254 2575174 3494879 3862761 6989758 7725522 9013109 10484637 18026218 20969274 24464153 27039327 48928306 54078654 73392459 146784918 171249071 342498142 513747213 1027494426