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1052466324 = 2237133792543
BaseRepresentation
bin111110101110110…
…101110010010100
32201100101211101020
4332232311302110
54123412410244
6252234001140
735036546640
oct7656656224
92640354336
101052466324
114a00a9588
122545761b0
1313a07a050
149dac7c20
15625e6d19
hex3ebb5c94

1052466324 has 96 divisors (see below), whose sum is σ = 3031633920. Its totient is φ = 276732288.

The previous prime is 1052466313. The next prime is 1052466353. The reversal of 1052466324 is 4236642501.

It is a super-2 number, since 2×10524663242 = 2215370726308145952, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412597 + ... + 415139.

It is an arithmetic number, because the mean of its divisors is an integer number (31579520).

Almost surely, 21052466324 is an apocalyptic number.

1052466324 is a gapful number since it is divisible by the number (14) 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 1052466324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515816960).

1052466324 is an abundant number, since it is smaller than the sum of its proper divisors (1979167596).

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

1052466324 is a wasteful number, since it uses less digits than its factorization.

1052466324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 1052466324 is about 32441.7373764107. The cubic root of 1052466324 is about 1017.1915322404.

The spelling of 1052466324 in words is "one billion, fifty-two million, four hundred sixty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 379 546 758 1092 1137 1516 2274 2543 2653 4548 4927 5086 5306 7629 7959 9854 10172 10612 14781 15258 15918 17801 19708 29562 30516 31836 33059 34489 35602 53403 59124 66118 68978 71204 99177 103467 106806 132236 137956 198354 206934 213612 231413 396708 413868 462826 694239 925652 963797 1388478 1927594 2776956 2891391 3855188 5782782 6746579 11565564 12529361 13493158 20239737 25058722 26986316 37588083 40479474 50117444 75176166 80958948 87705527 150352332 175411054 263116581 350822108 526233162 1052466324