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4532674048 = 29721937257
BaseRepresentation
bin1000011100010101…
…10001111000000000
3102200220000200212121
410032022301320000
533240331032143
62025434534024
7220216044100
oct41612617000
912626020777
104532674048
111a16638111
12a65b97314
135730a6966
1430ddb3200
151b7de47ed
hex10e2b1e00

4532674048 has 240 divisors, whose sum is σ = 11433620880. Its totient is φ = 1783627776.

The previous prime is 4532674037. The next prime is 4532674117. The reversal of 4532674048 is 8404762354.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4532673995 and 4532674013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17636736 + ... + 17636992.

It is an arithmetic number, because the mean of its divisors is an integer number (47640087).

Almost surely, 24532674048 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 4532674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716810440).

4532674048 is an abundant number, since it is smaller than the sum of its proper divisors (6900946832).

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

4532674048 is a wasteful number, since it uses less digits than its factorization.

4532674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The square root of 4532674048 is about 67325.1368212498. The cubic root of 4532674048 is about 1654.9498191872.

The spelling of 4532674048 in words is "four billion, five hundred thirty-two million, six hundred seventy-four thousand, forty-eight".