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4530020352 = 213311131289
BaseRepresentation
bin1000011100000001…
…01010000000000000
3102200201000212200120
410032000222000000
533234141122402
62025302020240
7220154352264
oct41600520000
912621025616
104530020352
111a15095380
12a65117680
13572687b20
1430d8c20a4
151b7a6d3bc
hex10e02a000

4530020352 has 224 divisors, whose sum is σ = 14202095040. Its totient is φ = 1266155520.

The previous prime is 4530020351. The next prime is 4530020357. The reversal of 4530020352 is 2530200354.

It is a super-4 number, since 4×45300203524 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4530020351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513724 + ... + 3515012.

It is an arithmetic number, because the mean of its divisors is an integer number (63402210).

Almost surely, 24530020352 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 4530020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101047520).

4530020352 is an abundant number, since it is smaller than the sum of its proper divisors (9672074688).

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

4530020352 is a wasteful number, since it uses less digits than its factorization.

4530020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 4530020352 is about 67305.4258734019. The cubic root of 4530020352 is about 1654.6267875722.

The spelling of 4530020352 in words is "four billion, five hundred thirty million, twenty thousand, three hundred fifty-two".