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1054858084 = 22733492203
BaseRepresentation
bin111110110111111…
…101101101100100
32201111220100020221
4332313331231210
54130020424314
6252401134124
735066101000
oct7667755544
92644810227
101054858084
114a1492545
1225532a344
1313a7068a7
14a014b700
156291a824
hex3edfdb64

1054858084 has 48 divisors (see below), whose sum is σ = 2159920000. Its totient is φ = 450582048.

The previous prime is 1054858081. The next prime is 1054858087. The reversal of 1054858084 is 4808584501.

It is an interprime number because it is at equal distance from previous prime (1054858081) and next prime (1054858087).

It is a super-2 number, since 2×10548580842 = 2225451154760302112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054858084.

It is not an unprimeable number, because it can be changed into a prime (1054858081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477727 + ... + 479929.

Almost surely, 21054858084 is an apocalyptic number.

1054858084 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 1054858084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079960000).

1054858084 is an abundant number, since it is smaller than the sum of its proper divisors (1105061916).

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

1054858084 is a wasteful number, since it uses less digits than its factorization.

1054858084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 43.

The square root of 1054858084 is about 32478.5788482193. The cubic root of 1054858084 is about 1017.9614816309.

It can be divided in two parts, 105485 and 8084, that added together give a square (113569 = 3372).

The spelling of 1054858084 in words is "one billion, fifty-four million, eight hundred fifty-eight thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 349 686 698 1372 1396 2203 2443 4406 4886 8812 9772 15421 17101 30842 34202 61684 68404 107947 119707 215894 239414 431788 478828 755629 768847 1511258 1537694 3022516 3075388 5381929 10763858 21527716 37673503 75347006 150694012 263714521 527429042 1054858084