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4252458640 = 24566378009
BaseRepresentation
bin1111110101110111…
…0101111010010000
3101222100202021121011
43331131311322100
532202112134030
61541544540304
7210244205413
oct37535657220
911870667534
104252458640
111892447131
129a8181694
1352a015221
142c4aadb7a
1519d4e2b2a
hexfd775e90

4252458640 has 40 divisors (see below), whose sum is σ = 9889690680. Its totient is φ = 1700514816.

The previous prime is 4252458631. The next prime is 4252458643. The reversal of 4252458640 is 468542524.

It can be written as a sum of positive squares in 4 ways, for example, as 17572864 + 4234885776 = 4192^2 + 65076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4252458593 and 4252458602.

It is not an unprimeable number, because it can be changed into a prime (4252458643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526956 + ... + 534964.

It is an arithmetic number, because the mean of its divisors is an integer number (247242267).

Almost surely, 24252458640 is an apocalyptic number.

4252458640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4252458640 is an abundant number, since it is smaller than the sum of its proper divisors (5637232040).

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

4252458640 is a wasteful number, since it uses less digits than its factorization.

4252458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14659 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The square root of 4252458640 is about 65210.8782336199. The cubic root of 4252458640 is about 1620.1181949022.

The spelling of 4252458640 in words is "four billion, two hundred fifty-two million, four hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6637 8009 13274 16018 26548 32036 33185 40045 53096 64072 66370 80090 106192 128144 132740 160180 265480 320360 530960 640720 53155733 106311466 212622932 265778665 425245864 531557330 850491728 1063114660 2126229320 4252458640