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3053952000 = 210325311241
BaseRepresentation
bin1011011000000111…
…1001110000000000
321212211112211120100
42312001321300000
522223302431000
61223012442400
7135452110101
oct26601716000
97784484510
103053952000
111327970380
12712919400
133989246b8
1420d84c3a8
1512d19ea00
hexb6079c00

3053952000 has 528 divisors, whose sum is σ = 12055421664. Its totient is φ = 737280000.

The previous prime is 3053951993. The next prime is 3053952037. The reversal of 3053952000 is 2593503.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671880 + ... + 12672120.

It is an arithmetic number, because the mean of its divisors is an integer number (22832238).

Almost surely, 23053952000 is an apocalyptic number.

3053952000 is a gapful number since it is divisible by the number (30) 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 3053952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027710832).

3053952000 is an abundant number, since it is smaller than the sum of its proper divisors (9001469664).

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

3053952000 is a wasteful number, since it uses less digits than its factorization.

3053952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3053952000 is about 55262.5732299899. The cubic root of 3053952000 is about 1450.8440587088.

The spelling of 3053952000 in words is "three billion, fifty-three million, nine hundred fifty-two thousand".