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145779168 = 2531518533
BaseRepresentation
bin10001011000001…
…10100111100000
3101011022100102110
420230012213200
5244304413133
622244315320
73420050103
oct1054064740
9334270373
10145779168
117531a057
12409a2b40
1324281982
141550a73a
15cbe8c63
hex8b069e0

145779168 has 24 divisors (see below), whose sum is σ = 382670568. Its totient is φ = 48593024.

The previous prime is 145779163. The next prime is 145779181. The reversal of 145779168 is 861977541.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145779163) 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 3 ways as a sum of consecutive naturals, for example, 759171 + ... + 759362.

It is an arithmetic number, because the mean of its divisors is an integer number (15944607).

Almost surely, 2145779168 is an apocalyptic number.

It is an amenable number.

145779168 is an abundant number, since it is smaller than the sum of its proper divisors (236891400).

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

145779168 is a wasteful number, since it uses less digits than its factorization.

145779168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518546 (or 1518538 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The square root of 145779168 is about 12073.9044223482. The cubic root of 145779168 is about 526.2981245496.

The spelling of 145779168 in words is "one hundred forty-five million, seven hundred seventy-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1518533 3037066 4555599 6074132 9111198 12148264 18222396 24296528 36444792 48593056 72889584 145779168