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4528434768 = 24311132192671
BaseRepresentation
bin1000011011110101…
…00110111001010000
3102200121001022200020
410031322212321100
533233234403033
62025204023440
7220135026504
oct41572467120
912617038606
104528434768
111a14202080
12a64691b80
13572251200
1430d5cc304
151b78586b3
hex10dea6e50

4528434768 has 240 divisors, whose sum is σ = 14551925760. Its totient is φ = 1199577600.

The previous prime is 4528434733. The next prime is 4528434803. The reversal of 4528434768 is 8674348254.

It is an interprime number because it is at equal distance from previous prime (4528434733) and next prime (4528434803).

It is a self number, because there is not a number n which added to its sum of digits gives 4528434768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694073 + ... + 1696743.

It is an arithmetic number, because the mean of its divisors is an integer number (60633024).

Almost surely, 24528434768 is an apocalyptic number.

4528434768 is a gapful number since it is divisible by the number (48) 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 4528434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275962880).

4528434768 is an abundant number, since it is smaller than the sum of its proper divisors (10023490992).

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

4528434768 is a wasteful number, since it uses less digits than its factorization.

4528434768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2719 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The square root of 4528434768 is about 67293.6458218753. The cubic root of 4528434768 is about 1654.4337158924.

The spelling of 4528434768 in words is "four billion, five hundred twenty-eight million, four hundred thirty-four thousand, seven hundred sixty-eight".