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144683552 = 25132967179
BaseRepresentation
bin10001001111110…
…11001000100000
3101002020200112002
420213323020200
5244014333202
622205023132
73404534636
oct1047731040
9332220462
10144683552
1174740992
1240554aa8
1323c8a090
1415303356
15ca7e302
hex89fb220

144683552 has 96 divisors (see below), whose sum is σ = 323870400. Its totient is φ = 63157248.

The previous prime is 144683543. The next prime is 144683569. The reversal of 144683552 is 255386441.

144683552 = T203 + T204 + ... + T956.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808199 + ... + 808377.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2144683552 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 144683552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161935200).

144683552 is an abundant number, since it is smaller than the sum of its proper divisors (179186848).

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

144683552 is a wasteful number, since it uses less digits than its factorization.

144683552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 144683552 is about 12028.4476138860. The cubic root of 144683552 is about 524.9763278820.

The spelling of 144683552 in words is "one hundred forty-four million, six hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 67 104 116 134 179 208 232 268 358 377 416 464 536 716 754 871 928 1072 1432 1508 1742 1943 2144 2327 2864 3016 3484 3886 4654 5191 5728 6032 6968 7772 9308 10382 11993 12064 13936 15544 18616 20764 23986 25259 27872 31088 37232 41528 47972 50518 62176 67483 74464 83056 95944 101036 134966 155909 166112 191888 202072 269932 311818 347797 383776 404144 539864 623636 695594 808288 1079728 1247272 1391188 2159456 2494544 2782376 4521361 4989088 5564752 9042722 11129504 18085444 36170888 72341776 144683552