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1052355132 = 2233292771213
BaseRepresentation
bin111110101110011…
…010101000111100
32201100012011212000
4332232122220330
54123400331012
6252231342300
735035604523
oct7656325074
92640164760
101052355132
114a0032a94
12254521990
1313a03b55a
149da994ba
15625c3ddc
hex3eb9aa3c

1052355132 has 96 divisors (see below), whose sum is σ = 2834932800. Its totient is φ = 337188096.

The previous prime is 1052355067. The next prime is 1052355137. The reversal of 1052355132 is 2315532501.

It is a happy number.

1052355132 is a `hidden beast` number, since 1 + 0 + 523 + 5 + 5 + 132 = 666.

It is a super-2 number, since 2×10523551322 = 2214902647693474848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1052355096 and 1052355105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052355137) 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, 866958 + ... + 868170.

It is an arithmetic number, because the mean of its divisors is an integer number (29530550).

Almost surely, 21052355132 is an apocalyptic number.

1052355132 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 1052355132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417466400).

1052355132 is an abundant number, since it is smaller than the sum of its proper divisors (1782577668).

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

1052355132 is a wasteful number, since it uses less digits than its factorization.

1052355132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1052355132 is about 32440.0236128151. The cubic root of 1052355132 is about 1017.1557092275.

Adding to 1052355132 its reverse (2315532501), we get a palindrome (3367887633).

The spelling of 1052355132 in words is "one billion, fifty-two million, three hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 277 348 522 554 783 831 1044 1108 1213 1566 1662 2426 2493 3132 3324 3639 4852 4986 7278 7479 8033 9972 10917 14556 14958 16066 21834 24099 29916 32132 32751 35177 43668 48198 65502 70354 72297 96396 105531 131004 140708 144594 211062 216891 289188 316593 336001 422124 433782 633186 672002 867564 949779 1008003 1266372 1344004 1899558 2016006 3024009 3799116 4032012 6048018 9072027 9744029 12096036 18144054 19488058 29232087 36288108 38976116 58464174 87696261 116928348 175392522 263088783 350785044 526177566 1052355132