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144959472 = 24327314639
BaseRepresentation
bin10001010001111…
…10011111110000
3101002202201000100
420220332133300
5244102200342
622214552400
73410064240
oct1050763760
9332681010
10144959472
117490a219
1240668700
1324055848
1415375b20
15cad5e4c
hex8a3e7f0

144959472 has 120 divisors (see below), whose sum is σ = 478699520. Its totient is φ = 40072320.

The previous prime is 144959447. The next prime is 144959473. The reversal of 144959472 is 274959441.

144959472 is a `hidden beast` number, since 1 + 4 + 495 + 94 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144959473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28929 + ... + 33567.

Almost surely, 2144959472 is an apocalyptic number.

144959472 is a gapful number since it is divisible by the number (12) 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 144959472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239349760).

144959472 is an abundant number, since it is smaller than the sum of its proper divisors (333740048).

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

144959472 is a wasteful number, since it uses less digits than its factorization.

144959472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4682 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 144959472 is about 12039.9116275827. The cubic root of 144959472 is about 525.3098361575.

The spelling of 144959472 in words is "one hundred forty-four million, nine hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3472 3906 4464 4639 5208 7812 9278 10416 13917 15624 18556 27834 31248 32473 37112 41751 55668 64946 74224 83502 97419 111336 129892 143809 167004 194838 222672 259784 287618 292257 334008 389676 431427 519568 575236 584514 668016 779352 862854 1006663 1150472 1169028 1294281 1558704 1725708 2013326 2300944 2338056 2588562 3019989 3451416 4026652 4676112 5177124 6039978 6902832 8053304 9059967 10354248 12079956 16106608 18119934 20708496 24159912 36239868 48319824 72479736 144959472