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1053309492 = 2232537432
BaseRepresentation
bin111110110010000…
…011101000110100
32201101222122222200
4332302003220310
54124121400432
6252304024500
735046661104
oct7662035064
92641878880
101053309492
114a0625014
12254902130
1313a2b3a71
149dc67204
1562711a7c
hex3ec83a34

1053309492 has 54 divisors (see below), whose sum is σ = 2716424802. Its totient is φ = 344014944.

The previous prime is 1053309473. The next prime is 1053309533. The reversal of 1053309492 is 2949033501.

It is a happy number.

1053309492 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 973814436 + 79495056 = 31206^2 + 8916^2 .

It is a super-2 number, since 2×10533094922 = 2218921771874596128, 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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1417273 + ... + 1418015.

It is an arithmetic number, because the mean of its divisors is an integer number (50304163).

Almost surely, 21053309492 is an apocalyptic number.

1053309492 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 1053309492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358212401).

1053309492 is an abundant number, since it is smaller than the sum of its proper divisors (1663115310).

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

1053309492 is an equidigital number, since it uses as much as digits as its factorization.

1053309492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 1053309492 is about 32454.7298864126. The cubic root of 1053309492 is about 1017.4630957725.

The spelling of 1053309492 in words is "one billion, fifty-three million, three hundred nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 743 954 1486 1908 2229 2972 4458 6687 8916 13374 26748 39379 78758 118137 157516 236274 354411 472548 552049 708822 1104098 1417644 1656147 2208196 3312294 4968441 6624588 9936882 19873764 29258597 58517194 87775791 117034388 175551582 263327373 351103164 526654746 1053309492