Search a number
-
+
42493342782 = 23114322876547
BaseRepresentation
bin100111100100110011…
…001111010000111110
311001200102201110210110
4213210303033100332
51144011243432112
631304323450450
73033011311512
oct474463172076
9131612643713
1042493342782
1117026425410
12829ab26a26
1340127c0817
1420b17a8142
15118a84a13c
hex9e4ccf43e

42493342782 has 64 divisors (see below), whose sum is σ = 94924836864. Its totient is φ = 12569891040.

The previous prime is 42493342777. The next prime is 42493342847. The reversal of 42493342782 is 28724339424.

It is a super-3 number, since 3×424933427823 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6487233 + ... + 6493779.

It is an arithmetic number, because the mean of its divisors is an integer number (1483200576).

Almost surely, 242493342782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42493342782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47462418432).

42493342782 is an abundant number, since it is smaller than the sum of its proper divisors (52431494082).

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

42493342782 is a wasteful number, since it uses less digits than its factorization.

42493342782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8893.

The product of its digits is 2322432, while the sum is 48.

The spelling of 42493342782 in words is "forty-two billion, four hundred ninety-three million, three hundred forty-two thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2287 2838 4574 6547 6861 13094 13722 19641 25157 39282 50314 72017 75471 98341 144034 150942 196682 216051 281521 295023 432102 563042 590046 844563 1081751 1689126 2163502 3096731 3245253 6193462 6490506 9290193 14972989 18580386 29945978 44918967 89837934 164702879 329405758 494108637 643838527 988217274 1287677054 1931515581 3863031162 7082223797 14164447594 21246671391 42493342782