Search a number
-
+
145446144 = 283229827
BaseRepresentation
bin10001010101101…
…01010100000000
3101010200102121020
420222311110000
5244213234034
622233225440
73414162144
oct1052652400
9333612536
10145446144
1175111928
1240862280
132419620c
1415461224
15cb80249
hex8ab5500

145446144 has 72 divisors (see below), whose sum is σ = 389259360. Its totient is φ = 48211968.

The previous prime is 145446139. The next prime is 145446157. The reversal of 145446144 is 441644541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175459 + ... + 176285.

It is an arithmetic number, because the mean of its divisors is an integer number (5406380).

Almost surely, 2145446144 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 145446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194629680).

145446144 is an abundant number, since it is smaller than the sum of its proper divisors (243813216).

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

145446144 is an equidigital number, since it uses as much as digits as its factorization.

145446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 145446144 is about 12060.1054721756. The cubic root of 145446144 is about 525.8970532047.

The spelling of 145446144 in words is "one hundred forty-five million, four hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 687 768 827 916 1374 1654 1832 2481 2748 3308 3664 4962 5496 6616 7328 9924 10992 13232 14656 19848 21984 26464 29312 39696 43968 52928 58624 79392 87936 105856 158784 175872 189383 211712 317568 378766 568149 635136 757532 1136298 1515064 2272596 3030128 4545192 6060256 9090384 12120512 18180768 24241024 36361536 48482048 72723072 145446144