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1053295488 = 2734723631
BaseRepresentation
bin111110110010000…
…000001110000000
32201101221221210000
4332302000032000
54124120423423
6252303440000
735046602220
oct7662001600
92641857700
101053295488
114a0615543
122548b6000
1313a2aa58b
149dc62080
156270c843
hex3ec80380

1053295488 has 320 divisors, whose sum is σ = 3744069120. Its totient is φ = 287400960.

The previous prime is 1053295483. The next prime is 1053295493. The reversal of 1053295488 is 8845923501.

It is an interprime number because it is at equal distance from previous prime (1053295483) and next prime (1053295493).

It is a super-2 number, since 2×10532954882 = 2218862770082316288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053295483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1668933 + ... + 1669563.

It is an arithmetic number, because the mean of its divisors is an integer number (11700216).

Almost surely, 21053295488 is an apocalyptic number.

1053295488 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 1053295488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872034560).

1053295488 is an abundant number, since it is smaller than the sum of its proper divisors (2690773632).

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

1053295488 is an equidigital number, since it uses as much as digits as its factorization.

1053295488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 666 counting only the distinct ones).

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

The square root of 1053295488 is about 32454.5141390223. The cubic root of 1053295488 is about 1017.4585866146.

The spelling of 1053295488 in words is "one billion, fifty-three million, two hundred ninety-five thousand, four hundred eighty-eight".