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1053227952 = 243272612447
BaseRepresentation
bin111110110001101…
…111101110110000
32201101211112010200
4332301233232300
54124111243302
6252302155200
735046201300
oct7661575660
92641745120
101053227952
114a0579827
12254882b00
1313a28590a
149dc45600
15626e781c
hex3ec6fbb0

1053227952 has 180 divisors, whose sum is σ = 3486446496. Its totient is φ = 295868160.

The previous prime is 1053227951. The next prime is 1053227953. The reversal of 1053227952 is 2597223501.

1053227952 is a `hidden beast` number, since 1 + 0 + 532 + 2 + 79 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1053227951) and next prime (1053227953).

It is a super-2 number, since 2×10532279522 = 2218578237748228608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1053227951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 429193 + ... + 431639.

Almost surely, 21053227952 is an apocalyptic number.

1053227952 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 1053227952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743223248).

1053227952 is an abundant number, since it is smaller than the sum of its proper divisors (2433218544).

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

1053227952 is a wasteful number, since it uses less digits than its factorization.

1053227952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2536 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1053227952 is about 32453.4736507512. The cubic root of 1053227952 is about 1017.4368400890.

The spelling of 1053227952 in words is "one billion, fifty-three million, two hundred twenty-seven thousand, nine hundred fifty-two".