Search a number
-
+
145093842 = 235192827
BaseRepresentation
bin10001010010111…
…11010011010010
3101010000112100000
420221133103102
5244121000332
622221510430
73411164055
oct1051372322
9333015300
10145093842
11749a1173
1240712416
13240a1a5a
14153aca9c
15cb10b7c
hex8a5f4d2

145093842 has 72 divisors (see below), whose sum is σ = 344491056. Its totient is φ = 45763704.

The previous prime is 145093831. The next prime is 145093843. The reversal of 145093842 is 248390541.

145093842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145093797 and 145093806.

It is not an unprimeable number, because it can be changed into a prime (145093843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175033 + ... + 175859.

It is an arithmetic number, because the mean of its divisors is an integer number (4784598).

Almost surely, 2145093842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145093842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172245528).

145093842 is an abundant number, since it is smaller than the sum of its proper divisors (199397214).

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

145093842 is an equidigital number, since it uses as much as digits as its factorization.

145093842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145093842 is about 12045.4905255037. The cubic root of 145093842 is about 525.4720977954.

The spelling of 145093842 in words is "one hundred forty-five million, ninety-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 827 1026 1083 1539 1654 2166 2481 3078 3249 4617 4962 6498 7443 9234 9747 14886 15713 19494 22329 29241 31426 44658 47139 58482 66987 87723 94278 133974 141417 175446 200961 282834 298547 401922 424251 597094 848502 895641 1272753 1791282 2545506 2686923 3818259 5373846 7636518 8060769 16121538 24182307 48364614 72546921 145093842