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4947529440 = 2535761101239
BaseRepresentation
bin1001001101110010…
…10100111011100000
3110202210122112111010
410212321110323200
540113031420230
62134534420520
7233414210040
oct44671247340
913683575433
104947529440
11210982a107
12b60b01740
1360b019b19
1434d123720
151de53e9b0
hex126e54ee0

4947529440 has 384 divisors, whose sum is σ = 18358824960. Its totient is φ = 1096704000.

The previous prime is 4947529439. The next prime is 4947529459. The reversal of 4947529440 is 449257494.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4947529440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20700841 + ... + 20701079.

It is an arithmetic number, because the mean of its divisors is an integer number (47809440).

Almost surely, 24947529440 is an apocalyptic number.

4947529440 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 4947529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9179412480).

4947529440 is an abundant number, since it is smaller than the sum of its proper divisors (13411295520).

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

4947529440 is a wasteful number, since it uses less digits than its factorization.

4947529440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 4947529440 is about 70338.6767006602. The cubic root of 4947529440 is about 1703.9733404103.

The spelling of 4947529440 in words is "four billion, nine hundred forty-seven million, five hundred twenty-nine thousand, four hundred forty".