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152541144 = 2334733629
BaseRepresentation
bin10010001011110…
…01011111011000
3101122000220010000
421011321133120
5303022304034
623045253000
73531402240
oct1105713730
9348026100
10152541144
1179118468
1243104160
13257ab742
141638ab20
15d5d2599
hex91797d8

152541144 has 80 divisors (see below), whose sum is σ = 488307600. Its totient is φ = 43581888.

The previous prime is 152541127. The next prime is 152541149. The reversal of 152541144 is 441145251.

It is a super-2 number, since 2×1525411442 = 46537601225657472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152541149) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12279 + ... + 21350.

It is an arithmetic number, because the mean of its divisors is an integer number (6103845).

Almost surely, 2152541144 is an apocalyptic number.

152541144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152541144 is an abundant number, since it is smaller than the sum of its proper divisors (335766456).

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

152541144 is a wasteful number, since it uses less digits than its factorization.

152541144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33654 (or 33641 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 152541144 is about 12350.7547947484. The cubic root of 152541144 is about 534.3129083904.

Adding to 152541144 its reverse (441145251), we get a palindrome (593686395).

The spelling of 152541144 in words is "one hundred fifty-two million, five hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 33629 67258 100887 134516 201774 235403 269032 302661 403548 470806 605322 706209 807096 907983 941612 1210644 1412418 1815966 1883224 2118627 2421288 2723949 2824836 3631932 4237254 5447898 5649672 6355881 7263864 8474508 10895796 12711762 16949016 19067643 21791592 25423524 38135286 50847048 76270572 152541144