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1053534208 = 211598719
BaseRepresentation
bin111110110010111…
…010100000000000
32201102102002020111
4332302322200000
54124201043313
6252312521104
735051615206
oct7662724000
92642362214
101053534208
114a0768931
122549b0194
1313a36212c
149dcc5076
156275843d
hex3ecba800

1053534208 has 48 divisors (see below), whose sum is σ = 2142504000. Its totient is φ = 517779456.

The previous prime is 1053534199. The next prime is 1053534221. The reversal of 1053534208 is 8024353501.

It is a super-2 number, since 2×10535342082 = 2219868654852374528, 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 1053534208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116473 + ... + 125191.

It is an arithmetic number, because the mean of its divisors is an integer number (44635500).

Almost surely, 21053534208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053534208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071252000).

1053534208 is an abundant number, since it is smaller than the sum of its proper divisors (1088969792).

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

1053534208 is an frugal number, since it uses more digits than its factorization.

1053534208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 1053534208 is about 32458.1916933153. The cubic root of 1053534208 is about 1017.5354467706.

Adding to 1053534208 its reverse (8024353501), we get a palindrome (9077887709).

It can be divided in two parts, 105353 and 4208, that added together give a square (109561 = 3312).

The spelling of 1053534208 in words is "one billion, fifty-three million, five hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1888 2048 3776 7552 8719 15104 17438 30208 34876 60416 69752 120832 139504 279008 514421 558016 1028842 1116032 2057684 2232064 4115368 4464128 8230736 8928256 16461472 17856512 32922944 65845888 131691776 263383552 526767104 1053534208