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1052152332 = 2237114127773
BaseRepresentation
bin111110101101101…
…001001000001100
32201022210212122220
4332231221020030
54123322333312
6252223135340
735034101340
oct7655511014
92638725586
101052152332
1149aa04690
12254444550
13139c9a15a
149da45620
1562583c8c
hex3eb6920c

1052152332 has 96 divisors (see below), whose sum is σ = 3135573504. Its totient is φ = 266611200.

The previous prime is 1052152331. The next prime is 1052152333. The reversal of 1052152332 is 2332512501.

It is a happy number.

1052152332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1052152331) and next prime (1052152333).

It is a super-2 number, since 2×10521523322 = 2214049059466076448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052152331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23998 + ... + 51770.

It is an arithmetic number, because the mean of its divisors is an integer number (32662224).

Almost surely, 21052152332 is an apocalyptic number.

1052152332 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 1052152332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567786752).

1052152332 is an abundant number, since it is smaller than the sum of its proper divisors (2083421172).

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

1052152332 is a wasteful number, since it uses less digits than its factorization.

1052152332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27839 (or 27837 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1052152332 is about 32436.8976938301. The cubic root of 1052152332 is about 1017.0903661306.

Adding to 1052152332 its reverse (2332512501), we get a palindrome (3384664833).

The spelling of 1052152332 in words is "one billion, fifty-two million, one hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 574 861 902 924 1148 1353 1722 1804 2706 3157 3444 5412 6314 9471 12628 18942 27773 37884 55546 83319 111092 166638 194411 305503 333276 388822 583233 611006 777644 916509 1138693 1166466 1222012 1833018 2138521 2277386 2332932 3416079 3666036 4277042 4554772 6415563 6832158 7970851 8554084 12525623 12831126 13664316 15941702 23912553 25051246 25662252 31883404 37576869 47825106 50102492 75153738 87679361 95650212 150307476 175358722 263038083 350717444 526076166 1052152332