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1054049290 = 25732331431
BaseRepresentation
bin111110110100111…
…000010000001010
32201110101020210121
4332310320100022
54124314034130
6252331533454
735056162000
oct7664702012
92643336717
101054049290
114a0a8a918
12254bba28a
1313a4b2708
149ddbaa70
156280ad7a
hex3ed3840a

1054049290 has 128 divisors (see below), whose sum is σ = 2388787200. Its totient is φ = 333748800.

The previous prime is 1054049273. The next prime is 1054049291. The reversal of 1054049290 is 929404501.

It is a super-2 number, since 2×10540492902 = 2222039811499008200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054049291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2445375 + ... + 2445805.

It is an arithmetic number, because the mean of its divisors is an integer number (18662400).

Almost surely, 21054049290 is an apocalyptic number.

1054049290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054049290 is an abundant number, since it is smaller than the sum of its proper divisors (1334737910).

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

1054049290 is a wasteful number, since it uses less digits than its factorization.

1054049290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1054049290 is about 32466.1252692710. The cubic root of 1054049290 is about 1017.7012470511.

The spelling of 1054049290 in words is "one billion, fifty-four million, forty-nine thousand, two hundred ninety".

Divisors: 1 2 5 7 10 14 23 31 35 46 49 62 70 98 115 155 161 217 230 245 310 322 343 431 434 490 686 713 805 862 1085 1127 1426 1519 1610 1715 2155 2170 2254 3017 3038 3430 3565 4310 4991 5635 6034 7130 7595 7889 9913 9982 10633 11270 13361 15085 15190 15778 19826 21119 21266 24955 26722 30170 34937 39445 42238 49565 49910 53165 66805 69391 69874 78890 93527 99130 105595 106330 133610 138782 147833 174685 187054 211190 244559 295666 307303 346955 349370 467635 485737 489118 614606 654689 693910 739165 935270 971474 1222795 1309378 1478330 1536515 2151121 2428685 2445590 3073030 3273445 3400159 4302242 4582823 4857370 6546890 6800318 9165646 10755605 15057847 17000795 21511210 22914115 30115694 34001590 45828230 75289235 105404929 150578470 210809858 527024645 1054049290