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2053488024 = 23313723
BaseRepresentation
bin111101001100101…
…1011110110011000
312022010000000000000
41322121123312120
513201143104044
6535433213000
7101613234360
oct17231336630
95263000000
102053488024
1196415aa45
12493861160
13269584293
14156a1d9a0
15c042ad69
hex7a65bd98

2053488024 has 224 divisors, whose sum is σ = 6887473920. Its totient is φ = 561201696.

The previous prime is 2053488013. The next prime is 2053488037. The reversal of 2053488024 is 4208843502.

2053488024 is a `hidden beast` number, since 20 + 534 + 8 + 80 + 24 = 666.

It is a super-2 number, since 2×20534880242 = 8433626129422849152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2053488024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 89282077 + ... + 89282099.

Almost surely, 22053488024 is an apocalyptic number.

2053488024 is a gapful number since it is divisible by the number (24) 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 2053488024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443736960).

2053488024 is an abundant number, since it is smaller than the sum of its proper divisors (4833985896).

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

2053488024 is an frugal number, since it uses more digits than its factorization.

2053488024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2053488024 is about 45315.4281012549. The cubic root of 2053488024 is about 1271.0541651502.

The spelling of 2053488024 in words is "two billion, fifty-three million, four hundred eighty-eight thousand, twenty-four".