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145829394 = 23231534931
BaseRepresentation
bin10001011000100…
…10111000010010
3101011101220022200
420230102320102
5244313020034
622245344030
73420346404
oct1054227022
9334356280
10145829394
1175353867
1240a08016
132429b7a9
1415520b74
15cc08a99
hex8b12e12

145829394 has 48 divisors (see below), whose sum is σ = 332377344. Its totient is φ = 46144800.

The previous prime is 145829393. The next prime is 145829413. The reversal of 145829394 is 493928541.

It is not an unprimeable number, because it can be changed into a prime (145829393) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27109 + ... + 32039.

It is an arithmetic number, because the mean of its divisors is an integer number (6924528).

Almost surely, 2145829394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145829394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166188672).

145829394 is an abundant number, since it is smaller than the sum of its proper divisors (186547950).

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

145829394 is a wasteful number, since it uses less digits than its factorization.

145829394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5020 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 145829394 is about 12075.9841834941. The cubic root of 145829394 is about 526.3585602866.

The spelling of 145829394 in words is "one hundred forty-five million, eight hundred twenty-nine thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 31 53 62 93 106 159 186 279 318 477 558 954 1643 3286 4929 4931 9858 9862 14787 14793 29574 29586 44379 88758 152861 261343 305722 458583 522686 784029 917166 1375749 1568058 2352087 2751498 4704174 8101633 16203266 24304899 48609798 72914697 145829394