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144452520 = 233251492693
BaseRepresentation
bin10001001110000…
…10101110101000
3101001210221121100
420213002232220
5243434440040
622200041400
73402553242
oct1047025650
9331727540
10144452520
11745a3353
1240463260
1323c08b84
1415283092
15ca35b30
hex89c2ba8

144452520 has 96 divisors (see below), whose sum is σ = 472797000. Its totient is φ = 38247936.

The previous prime is 144452501. The next prime is 144452549. The reversal of 144452520 is 25254441.

It can be written as a sum of positive squares in 4 ways, for example, as 80676324 + 63776196 = 8982^2 + 7986^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52294 + ... + 54986.

Almost surely, 2144452520 is an apocalyptic number.

144452520 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 144452520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236398500).

144452520 is an abundant number, since it is smaller than the sum of its proper divisors (328344480).

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

144452520 is a wasteful number, since it uses less digits than its factorization.

144452520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 144452520 is about 12018.8402102699. The cubic root of 144452520 is about 524.6967500409.

The spelling of 144452520 in words is "one hundred forty-four million, four hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 149 180 298 360 447 596 745 894 1192 1341 1490 1788 2235 2682 2693 2980 3576 4470 5364 5386 5960 6705 8079 8940 10728 10772 13410 13465 16158 17880 21544 24237 26820 26930 32316 40395 48474 53640 53860 64632 80790 96948 107720 121185 161580 193896 242370 323160 401257 484740 802514 969480 1203771 1605028 2006285 2407542 3210056 3611313 4012570 4815084 6018855 7222626 8025140 9630168 12037710 14445252 16050280 18056565 24075420 28890504 36113130 48150840 72226260 144452520