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2581030452 = 223711131943263
BaseRepresentation
bin1001100111010111…
…0110011000110100
320122212122221011110
42121311312120310
520241220433302
61104040235020
7120650253060
oct23165663064
96585587143
102581030452
111104a19420
1260046ba70
13321960870
141a6b04aa0
151018d4b6c
hex99d76634

2581030452 has 384 divisors, whose sum is σ = 8742666240. Its totient is φ = 570447360.

The previous prime is 2581030451. The next prime is 2581030523. The reversal of 2581030452 is 2540301852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581030451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9813673 + ... + 9813935.

It is an arithmetic number, because the mean of its divisors is an integer number (22767360).

Almost surely, 22581030452 is an apocalyptic number.

2581030452 is a gapful number since it is divisible by the number (22) 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 2581030452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371333120).

2581030452 is an abundant number, since it is smaller than the sum of its proper divisors (6161635788).

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

2581030452 is a wasteful number, since it uses less digits than its factorization.

2581030452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2581030452 is about 50803.8428861440. The cubic root of 2581030452 is about 1371.7165426591.

The spelling of 2581030452 in words is "two billion, five hundred eighty-one million, thirty thousand, four hundred fifty-two".