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146242026 = 23272275113
BaseRepresentation
bin10001011011101…
…11100111101010
3101012011212100100
420231313213222
5244414221101
622302250230
73424015410
oct1055674752
9335155310
10146242026
1175605887
1240b86976
13243b4558
14155cb2b0
15cc8ae86
hex8b779ea

146242026 has 48 divisors (see below), whose sum is σ = 363789504. Its totient is φ = 41591232.

The previous prime is 146242013. The next prime is 146242043. The reversal of 146242026 is 620242641.

146242026 is a `hidden beast` number, since 14 + 624 + 2 + 0 + 26 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26046 + ... + 31158.

It is an arithmetic number, because the mean of its divisors is an integer number (7578948).

Almost surely, 2146242026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146242026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181894752).

146242026 is an abundant number, since it is smaller than the sum of its proper divisors (217547478).

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

146242026 is a wasteful number, since it uses less digits than its factorization.

146242026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 146242026 is about 12093.0569336293. The cubic root of 146242026 is about 526.8545459231.

Adding to 146242026 its reverse (620242641), we get a palindrome (766484667).

The spelling of 146242026 in words is "one hundred forty-six million, two hundred forty-two thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 227 454 681 1362 1589 2043 3178 4086 4767 5113 9534 10226 14301 15339 28602 30678 35791 46017 71582 92034 107373 214746 322119 644238 1160651 2321302 3481953 6963906 8124557 10445859 16249114 20891718 24373671 48747342 73121013 146242026