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144952280 = 235113110627
BaseRepresentation
bin10001010001111…
…00101111011000
3101002202100010222
420220330233120
5244101433110
622214455212
73410034254
oct1050745730
9332670128
10144952280
1174904880
1240664508
13240524a5
1415373264
15cad3c55
hex8a3cbd8

144952280 has 64 divisors (see below), whose sum is σ = 367303680. Its totient is φ = 51004800.

The previous prime is 144952267. The next prime is 144952307. The reversal of 144952280 is 82259441.

144952280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1449522802 = 42022326954396800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144952280.

It is a congruent number.

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, 8327 + ... + 18953.

It is an arithmetic number, because the mean of its divisors is an integer number (5739120).

Almost surely, 2144952280 is an apocalyptic number.

144952280 is a gapful number since it is divisible by the number (10) 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 144952280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183651840).

144952280 is an abundant number, since it is smaller than the sum of its proper divisors (222351400).

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

144952280 is a wasteful number, since it uses less digits than its factorization.

144952280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10680 (or 10676 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 144952280 is about 12039.6129505894. The cubic root of 144952280 is about 525.3011484630.

The spelling of 144952280 in words is "one hundred forty-four million, nine hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 10627 13640 21254 42508 53135 85016 106270 116897 212540 233794 329437 425080 467588 584485 658874 935176 1168970 1317748 1647185 2337940 2635496 3294370 3623807 4675880 6588740 7247614 13177480 14495228 18119035 28990456 36238070 72476140 144952280