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1051484112 = 24337463751
BaseRepresentation
bin111110101011000…
…101111111010000
32201021112221001000
4332223011333100
54123134442422
6252200542000
735025316230
oct7653057720
92637487030
101051484112
1149a598638
12254181900
13139ac4c63
149d90dcc0
15624a0cac
hex3eac5fd0

1051484112 has 160 divisors (see below), whose sum is σ = 3461365760. Its totient is φ = 299376000.

The previous prime is 1051484101. The next prime is 1051484113. The reversal of 1051484112 is 2114841501.

It is a happy number.

1051484112 is a `hidden beast` number, since 105 + 148 + 411 + 2 = 666.

It is a super-2 number, since 2×10514841122 = 2211237675576857088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051484113) 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, 1399737 + ... + 1400487.

It is an arithmetic number, because the mean of its divisors is an integer number (21633536).

Almost surely, 21051484112 is an apocalyptic number.

1051484112 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 1051484112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730682880).

1051484112 is an abundant number, since it is smaller than the sum of its proper divisors (2409881648).

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

1051484112 is a wasteful number, since it uses less digits than its factorization.

1051484112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1051484112 is about 32426.5957510189. The cubic root of 1051484112 is about 1016.8750031285.

The spelling of 1051484112 in words is "one billion, fifty-one million, four hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 463 504 751 756 926 1008 1389 1502 1512 1852 2253 2778 3004 3024 3241 3704 4167 4506 5257 5556 6008 6482 6759 7408 8334 9012 9723 10514 11112 12016 12501 12964 13518 15771 16668 18024 19446 20277 21028 22224 25002 25928 27036 29169 31542 33336 36048 38892 40554 42056 47313 50004 51856 54072 58338 63084 66672 77784 81108 84112 87507 94626 100008 108144 116676 126168 141939 155568 162216 175014 189252 200016 233352 252336 283878 324432 347713 350028 378504 466704 567756 695426 700056 757008 1043139 1135512 1390852 1400112 2086278 2271024 2433991 2781704 3129417 4172556 4867982 5563408 6258834 7301973 8345112 9388251 9735964 12517668 14603946 16690224 18776502 19471928 21905919 25035336 29207892 37553004 38943856 43811838 50070672 58415784 65717757 75106008 87623676 116831568 131435514 150212016 175247352 262871028 350494704 525742056 1051484112