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2053481472 = 210327139229
BaseRepresentation
bin111101001100101…
…1010010000000000
312022002222200000100
41322121122100000
513201142401342
6535433122400
7101613206310
oct17231322000
95262880010
102053481472
11964156029
12493859400
132695812c3
14156a1b440
15c0428e4c
hex7a65a400

2053481472 has 264 divisors, whose sum is σ = 6854993600. Its totient is φ = 579944448.

The previous prime is 2053481471. The next prime is 2053481473. The reversal of 2053481472 is 2741843502.

It is a happy number.

2053481472 is a `hidden beast` number, since 2 + 0 + 534 + 81 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2053481471) and next prime (2053481473).

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

It is not an unprimeable number, because it can be changed into a prime (2053481471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8967054 + ... + 8967282.

Almost surely, 22053481472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427496800).

2053481472 is an abundant number, since it is smaller than the sum of its proper divisors (4801512128).

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

2053481472 is a wasteful number, since it uses less digits than its factorization.

2053481472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2053481472 is about 45315.3558079378. The cubic root of 2053481472 is about 1271.0528133111.

The spelling of 2053481472 in words is "two billion, fifty-three million, four hundred eighty-one thousand, four hundred seventy-two".