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144439552 = 285973131
BaseRepresentation
bin10001001101111…
…11100100000000
3101001210021211001
420212333210000
5243434031202
622155501344
73402500365
oct1046774400
9331707731
10144439552
1174594634
1240457854
1323c02cba
141527c46c
15ca31d87
hex89bf900

144439552 has 72 divisors (see below), whose sum is σ = 299486880. Its totient is φ = 69488640.

The previous prime is 144439549. The next prime is 144439567. The reversal of 144439552 is 255934441.

It is a happy 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, 1102527 + ... + 1102657.

It is an arithmetic number, because the mean of its divisors is an integer number (4159540).

Almost surely, 2144439552 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 144439552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149743440).

144439552 is an abundant number, since it is smaller than the sum of its proper divisors (155047328).

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

144439552 is an equidigital number, since it uses as much as digits as its factorization.

144439552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 144439552 is about 12018.3007118311. The cubic root of 144439552 is about 524.6810482931.

It can be divided in two parts, 144439 and 552, that added together give a triangular number (144991 = T538).

The spelling of 144439552 in words is "one hundred forty-four million, four hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 59 64 73 118 128 131 146 236 256 262 292 472 524 584 944 1048 1168 1888 2096 2336 3776 4192 4307 4672 7552 7729 8384 8614 9344 9563 15104 15458 16768 17228 18688 19126 30916 33536 34456 38252 61832 68912 76504 123664 137824 153008 247328 275648 306016 494656 551296 564217 612032 989312 1102592 1128434 1224064 1978624 2256868 2448128 4513736 9027472 18054944 36109888 72219776 144439552