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1053440892 = 2232729473067
BaseRepresentation
bin111110110010100…
…011101101111100
32201102020100020100
4332302203231330
54124140102032
6252310521100
735051046150
oct7662435574
92642210210
101053440892
114a0704809
12254966190
1313a32b80a
149dc9d060
156273a97c
hex3eca3b7c

1053440892 has 144 divisors (see below), whose sum is σ = 3216245760. Its totient is φ = 284328576.

The previous prime is 1053440851. The next prime is 1053440909. The reversal of 1053440892 is 2980443501.

1053440892 is a `hidden beast` number, since 1 + 0 + 534 + 40 + 89 + 2 = 666.

It is a super-2 number, since 2×10534408922 = 2219475425875511328, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341943 + ... + 345009.

It is an arithmetic number, because the mean of its divisors is an integer number (22335040).

Almost surely, 21053440892 is an apocalyptic number.

1053440892 is a gapful number since it is divisible by the number (12) 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 1053440892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608122880).

1053440892 is an abundant number, since it is smaller than the sum of its proper divisors (2162804868).

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

1053440892 is a wasteful number, since it uses less digits than its factorization.

1053440892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1053440892 is about 32456.7541815259. The cubic root of 1053440892 is about 1017.5054034047.

The spelling of 1053440892 in words is "one billion, fifty-three million, four hundred forty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 47 58 63 84 87 94 116 126 141 174 188 203 252 261 282 329 348 406 423 522 564 609 658 812 846 987 1044 1218 1316 1363 1692 1827 1974 2436 2726 2961 3067 3654 3948 4089 5452 5922 6134 7308 8178 9201 9541 11844 12267 12268 16356 18402 19082 21469 24534 27603 28623 36804 38164 42938 49068 55206 57246 64407 85869 85876 88943 110412 114492 128814 144149 171738 177886 193221 257628 266829 288298 343476 355772 386442 432447 533658 576596 622601 772884 800487 864894 1009043 1067316 1245202 1297341 1600974 1729788 1867803 2018086 2490404 2594682 3027129 3201948 3735606 4036172 4180321 5189364 5603409 6054258 7471212 8360642 9081387 11206818 12108516 12540963 16721284 18162774 22413636 25081926 29262247 36325548 37622889 50163852 58524494 75245778 87786741 117048988 150491556 175573482 263360223 351146964 526720446 1053440892