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1053495882 = 23517472713
BaseRepresentation
bin111110110010110…
…001001001001010
32201102100010200000
4332302301021022
54124143332012
6252312023430
735051365365
oct7662611112
92642303600
101053495882
114a074205a
12254991b76
1313a34a85a
149dcb50dc
156274bddc
hex3ecb124a

1053495882 has 96 divisors (see below), whose sum is σ = 2560626432. Its totient is φ = 323357184.

The previous prime is 1053495881. The next prime is 1053495901. The reversal of 1053495882 is 2885943501.

1053495882 is a `hidden beast` number, since 10 + 53 + 4 + 9 + 588 + 2 = 666.

1053495882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10534958822 = 2219707146781915848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053495881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386958 + ... + 389670.

It is an arithmetic number, because the mean of its divisors is an integer number (26673192).

Almost surely, 21053495882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053495882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280313216).

1053495882 is an abundant number, since it is smaller than the sum of its proper divisors (1507130550).

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

1053495882 is a wasteful number, since it uses less digits than its factorization.

1053495882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 1053495882 is about 32457.6012976930. The cubic root of 1053495882 is about 1017.5231078147.

The spelling of 1053495882 in words is "one billion, fifty-three million, four hundred ninety-five thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 47 51 54 81 94 102 141 153 162 243 282 306 423 459 486 799 846 918 1269 1377 1598 2397 2538 2713 2754 3807 4131 4794 5426 7191 7614 8139 8262 11421 14382 16278 21573 22842 24417 43146 46121 48834 64719 73251 92242 127511 129438 138363 146502 194157 219753 255022 276726 382533 388314 415089 439506 659259 765066 830178 1147599 1245267 1318518 2167687 2295198 2490534 3442797 3735801 4335374 6503061 6885594 7471602 10328391 11207403 13006122 19509183 20656782 22414806 30985173 39018366 58527549 61970346 117055098 175582647 351165294 526747941 1053495882