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145779424 = 2573172053
BaseRepresentation
bin10001011000001…
…10101011100000
3101011022100202221
420230012223200
5244304420144
622244320424
73420050620
oct1054065340
9334270687
10145779424
117531a26a
12409a3114
1324281b1b
141550a880
15cbe8d84
hex8b06ae0

145779424 has 48 divisors (see below), whose sum is σ = 329198688. Its totient is φ = 62249472.

The previous prime is 145779421. The next prime is 145779427. The reversal of 145779424 is 424977541.

145779424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145779421) and next prime (145779427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145779421) 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 7 ways as a sum of consecutive naturals, for example, 69982 + ... + 72034.

It is an arithmetic number, because the mean of its divisors is an integer number (6858306).

Almost surely, 2145779424 is an apocalyptic number.

145779424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145779424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164599344).

145779424 is an abundant number, since it is smaller than the sum of its proper divisors (183419264).

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

145779424 is a wasteful number, since it uses less digits than its factorization.

145779424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2379 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 145779424 is about 12073.9150237195. The cubic root of 145779424 is about 526.2984326234.

The spelling of 145779424 in words is "one hundred forty-five million, seven hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 317 634 1268 2053 2219 2536 4106 4438 5072 8212 8876 10144 14371 16424 17752 28742 32848 35504 57484 65696 71008 114968 229936 459872 650801 1301602 2603204 4555607 5206408 9111214 10412816 18222428 20825632 36444856 72889712 145779424