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1053362432 = 28171912739
BaseRepresentation
bin111110110010010…
…000100100000000
32201102002100121102
4332302100210000
54124130044212
6252305113532
735050301333
oct7662204400
92642070542
101053362432
114a0660871
122549288a8
1313a301ba5
149dc7c61a
15627225c2
hex3ec90900

1053362432 has 72 divisors (see below), whose sum is σ = 2343650400. Its totient is φ = 469573632.

The previous prime is 1053362419. The next prime is 1053362467. The reversal of 1053362432 is 2342633501.

It is a super-2 number, since 2×10533624322 = 2219144826297909248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053362395 and 1053362404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76319 + ... + 89057.

It is an arithmetic number, because the mean of its divisors is an integer number (32550700).

Almost surely, 21053362432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171825200).

1053362432 is an abundant number, since it is smaller than the sum of its proper divisors (1290287968).

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

1053362432 is a wasteful number, since it uses less digits than its factorization.

1053362432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12791 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 1053362432 is about 32455.5454737707. The cubic root of 1053362432 is about 1017.4801415994.

Adding to 1053362432 its reverse (2342633501), we get a palindrome (3395995933).

The spelling of 1053362432 in words is "one billion, fifty-three million, three hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 4352 4864 5168 10336 12739 20672 25478 41344 50956 82688 101912 203824 216563 242041 407648 433126 484082 815296 866252 968164 1630592 1732504 1936328 3261184 3465008 3872656 4114697 6930016 7745312 8229394 13860032 15490624 16458788 27720064 30981248 32917576 55440128 61962496 65835152 131670304 263340608 526681216 1053362432