Search a number
-
+
144981552 = 24319433697
BaseRepresentation
bin10001010010000…
…11111000110000
3101002210211022010
420221003320300
5244103402202
622215242520
73410215512
oct1051037060
9332724263
10144981552
1174924871
1240679440
1324062901
141537dbb2
15cadc76c
hex8a43e30

144981552 has 80 divisors (see below), whose sum is σ = 403525760. Its totient is φ = 44706816.

The previous prime is 144981547. The next prime is 144981563. The reversal of 144981552 is 255189441.

It is a self number, because there is not a number n which added to its sum of digits gives 144981552.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37368 + ... + 41064.

It is an arithmetic number, because the mean of its divisors is an integer number (5044072).

Almost surely, 2144981552 is an apocalyptic number.

144981552 is a gapful number since it is divisible by the number (12) 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 144981552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201762880).

144981552 is an abundant number, since it is smaller than the sum of its proper divisors (258544208).

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

144981552 is a wasteful number, since it uses less digits than its factorization.

144981552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3764 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 144981552 is about 12040.8285429201. The cubic root of 144981552 is about 525.3365062609.

The spelling of 144981552 in words is "one hundred forty-four million, nine hundred eighty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 57 76 86 114 129 152 172 228 258 304 344 456 516 688 817 912 1032 1634 2064 2451 3268 3697 4902 6536 7394 9804 11091 13072 14788 19608 22182 29576 39216 44364 59152 70243 88728 140486 158971 177456 210729 280972 317942 421458 476913 561944 635884 842916 953826 1123888 1271768 1685832 1907652 2543536 3020449 3371664 3815304 6040898 7630608 9061347 12081796 18122694 24163592 36245388 48327184 72490776 144981552