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2452300128 = 253219743223
BaseRepresentation
bin1001001000101011…
…0010000101100000
320022220102202100200
42102022302011200
520010242101003
61043201145200
7114525131025
oct22212620540
96286382320
102452300128
111049294423
1258532b200
1330109ac85
1419399554c
15e54576a3
hex922b2160

2452300128 has 72 divisors (see below), whose sum is σ = 7009290288. Its totient is φ = 813265152.

The previous prime is 2452300127. The next prime is 2452300129. The reversal of 2452300128 is 8210032542.

It is an interprime number because it is at equal distance from previous prime (2452300127) and next prime (2452300129).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35125 + ... + 78347.

It is an arithmetic number, because the mean of its divisors is an integer number (97351254).

Almost surely, 22452300128 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 2452300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504645144).

2452300128 is an abundant number, since it is smaller than the sum of its proper divisors (4556990160).

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

2452300128 is a wasteful number, since it uses less digits than its factorization.

2452300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43436 (or 43425 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2452300128 is about 49520.7040337675. The cubic root of 2452300128 is about 1348.5214957538.

The spelling of 2452300128 in words is "two billion, four hundred fifty-two million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 591 788 1182 1576 1773 2364 3152 3546 4728 6304 7092 9456 14184 18912 28368 43223 56736 86446 129669 172892 259338 345784 389007 518676 691568 778014 1037352 1383136 1556028 2074704 3112056 4149408 6224112 8514931 12448224 17029862 25544793 34059724 51089586 68119448 76634379 102179172 136238896 153268758 204358344 272477792 306537516 408716688 613075032 817433376 1226150064 2452300128