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4940289000 = 2332535310357
BaseRepresentation
bin1001001100111011…
…01101001111101000
3110202022000200110200
410212131231033220
540104203222000
62134115312200
7233265522633
oct44635551750
913668020420
104940289000
112105734279
12b5a5ab660
1360968333a
1434c19ac1a
151ddaae500
hex12676d3e8

4940289000 has 192 divisors, whose sum is σ = 17014879440. Its totient is φ = 1292428800.

The previous prime is 4940288999. The next prime is 4940289001. The reversal of 4940289000 is 9820494.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4940288999) and next prime (4940289001).

It can be written as a sum of positive squares in 8 ways, for example, as 413959716 + 4526329284 = 20346^2 + 67278^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4940289001) 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, 471822 + ... + 482178.

Almost surely, 24940289000 is an apocalyptic number.

4940289000 is a gapful number since it is divisible by the number (40) 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 4940289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507439720).

4940289000 is an abundant number, since it is smaller than the sum of its proper divisors (12074590440).

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

4940289000 is a wasteful number, since it uses less digits than its factorization.

4940289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10437 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4940289000 is about 70287.1894444500. The cubic root of 4940289000 is about 1703.1417105226.

The spelling of 4940289000 in words is "four billion, nine hundred forty million, two hundred eighty-nine thousand".