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4942468608 = 293711229131
BaseRepresentation
bin1001001101001100…
…00001011000000000
3110202110010102022220
410212212001120000
540110232443413
62134234131040
7233323201320
oct44646013000
913673112286
104942468608
112106992900
12b5b280a80
13609c6744c
1434c5a7280
151ddd90223
hex126981600

4942468608 has 480 divisors, whose sum is σ = 17241396480. Its totient is φ = 1230028800.

The previous prime is 4942468607. The next prime is 4942468627. The reversal of 4942468608 is 8068642494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4942468603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37728703 + ... + 37728833.

It is an arithmetic number, because the mean of its divisors is an integer number (35919576).

Almost surely, 24942468608 is an apocalyptic number.

4942468608 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 4942468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8620698240).

4942468608 is an abundant number, since it is smaller than the sum of its proper divisors (12298927872).

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

4942468608 is a wasteful number, since it uses less digits than its factorization.

4942468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 4942468608 is about 70302.6927507048. The cubic root of 4942468608 is about 1703.3921436116.

The spelling of 4942468608 in words is "four billion, nine hundred forty-two million, four hundred sixty-eight thousand, six hundred eight".