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143885952 = 2732722549
BaseRepresentation
bin10001001001110…
…00011010000000
3101000202011102100
420210320122000
5243313322302
622135550400
73365003400
oct1044703200
9330664370
10143885952
1174246711
124022b400
1323a6b022
1415176800
15c972d1c
hex8938680

143885952 has 144 divisors (see below), whose sum is σ = 481835250. Its totient is φ = 41094144.

The previous prime is 143885927. The next prime is 143885971. The reversal of 143885952 is 259588341.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 52186176 = 9576^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 143885898 and 143885907.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55174 + ... + 57722.

Almost surely, 2143885952 is an apocalyptic number.

143885952 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 143885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240917625).

143885952 is an abundant number, since it is smaller than the sum of its proper divisors (337949298).

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

143885952 is a wasteful number, since it uses less digits than its factorization.

143885952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2561 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 143885952 is about 11995.2470587312. The cubic root of 143885952 is about 524.0098671490.

The spelling of 143885952 in words is "one hundred forty-three million, eight hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2549 2688 3136 3528 4032 4704 5098 6272 7056 7647 8064 9408 10196 14112 15294 17843 18816 20392 22941 28224 30588 35686 40784 45882 53529 56448 61176 71372 81568 91764 107058 122352 124901 142744 160587 163136 183528 214116 244704 249802 285488 321174 326272 367056 374703 428232 489408 499604 570976 642348 734112 749406 856464 978816 999208 1124109 1141952 1284696 1468224 1498812 1712928 1998416 2248218 2283904 2569392 2936448 2997624 3425856 3996832 4496436 5138784 5995248 6851712 7993664 8992872 10277568 11990496 15987328 17985744 20555136 23980992 35971488 47961984 71942976 143885952