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1055364048 = 243215746681
BaseRepresentation
bin111110111001111…
…001001111010000
32201112212001022100
4332321321033100
54130133122143
6252420040400
735103306054
oct7671711720
92645761270
101055364048
114a17a86a2
12255533100
1313a852c8b
14a023dc64
15629ba6d3
hex3ee793d0

1055364048 has 60 divisors (see below), whose sum is σ = 2972429668. Its totient is φ = 349539840.

The previous prime is 1055364043. The next prime is 1055364071. The reversal of 1055364048 is 8404635501.

It is a happy number.

1055364048 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 640 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 792535104 + 262828944 = 28152^2 + 16212^2 .

It is a super-2 number, since 2×10553640482 = 2227586547621892608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055364043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 733 + ... + 45948.

Almost surely, 21055364048 is an apocalyptic number.

1055364048 is a gapful number since it is divisible by the number (18) 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 1055364048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486214834).

1055364048 is an abundant number, since it is smaller than the sum of its proper divisors (1917065620).

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

1055364048 is a wasteful number, since it uses less digits than its factorization.

1055364048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46852 (or 46843 counting only the distinct ones).

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

The square root of 1055364048 is about 32486.3671099124. The cubic root of 1055364048 is about 1018.1242111154.

Adding to 1055364048 its reverse (8404635501), we get a palindrome (9459999549).

The spelling of 1055364048 in words is "one billion, fifty-five million, three hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 46681 93362 140043 186724 280086 373448 420129 560172 746896 840258 1120344 1680516 2240688 3361032 6722064 7328917 14657834 21986751 29315668 43973502 58631336 65960253 87947004 117262672 131920506 175894008 263841012 351788016 527682024 1055364048