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1052532648 = 233241356549
BaseRepresentation
bin111110101111000…
…101111110101000
32201100112012100200
4332233011332220
54123422021043
6252235232200
735040244206
oct7657057650
92640465320
101052532648
114a01443a2
122545a8660
1313a0a12ab
149db04076
156260b7d3
hex3ebc5fa8

1052532648 has 48 divisors (see below), whose sum is σ = 2920144500. Its totient is φ = 342286080.

The previous prime is 1052532623. The next prime is 1052532653. The reversal of 1052532648 is 8462352501.

1052532648 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 3 + 2 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1052483364 + 49284 = 32442^2 + 222^2 .

It is a super-2 number, since 2×10525326482 = 2215649950211783808, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 175323 + ... + 181226.

Almost surely, 21052532648 is an apocalyptic number.

1052532648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1052532648 is an abundant number, since it is smaller than the sum of its proper divisors (1867611852).

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

1052532648 is a wasteful number, since it uses less digits than its factorization.

1052532648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356602 (or 356595 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1052532648 is about 32442.7595620348. The cubic root of 1052532648 is about 1017.2128988129.

The spelling of 1052532648 in words is "one billion, fifty-two million, five hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 356549 713098 1069647 1426196 2139294 2852392 3208941 4278588 6417882 8557176 12835764 14618509 25671528 29237018 43855527 58474036 87711054 116948072 131566581 175422108 263133162 350844216 526266324 1052532648