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145667872 = 2572332791
BaseRepresentation
bin10001010111010…
…11011100100000
3101011002200202101
420223223130200
5244242332442
622242100144
73416104450
oct1053533440
9334080671
10145667872
1175253479
124094a654
132424310c
14154bbd60
15cbc5cb7
hex8aeb720

145667872 has 48 divisors (see below), whose sum is σ = 329277312. Its totient is φ = 62138880.

The previous prime is 145667867. The next prime is 145667909. The reversal of 145667872 is 278766541.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50797 + ... + 53587.

It is an arithmetic number, because the mean of its divisors is an integer number (6859944).

Almost surely, 2145667872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145667872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164638656).

145667872 is an abundant number, since it is smaller than the sum of its proper divisors (183609440).

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

145667872 is a wasteful number, since it uses less digits than its factorization.

145667872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3033 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 145667872 is about 12069.2945941343. The cubic root of 145667872 is about 526.1641552734.

The spelling of 145667872 in words is "one hundred forty-five million, six hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 233 466 932 1631 1864 2791 3262 3728 5582 6524 7456 11164 13048 19537 22328 26096 39074 44656 52192 78148 89312 156296 312592 625184 650303 1300606 2601212 4552121 5202424 9104242 10404848 18208484 20809696 36416968 72833936 145667872