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2949534720 = 210325112232
BaseRepresentation
bin1010111111001110…
…0101010000000000
321121120001212222200
42233303211100000
522020040102340
61204402433200
7133043426406
oct25763452000
97546055880
102949534720
111283a32100
126a3962800
133800c5422
141dda2b476
15123e26330
hexafce5400

2949534720 has 594 divisors, whose sum is σ = 11743274634. Its totient is φ = 683950080.

The previous prime is 2949534719. The next prime is 2949534727. The reversal of 2949534720 is 274359492.

2949534720 is a `hidden beast` number, since 2 + 9 + 49 + 534 + 72 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2359627776 + 589906944 = 48576^2 + 24288^2 .

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949534727) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 128240629 + ... + 128240651.

Almost surely, 22949534720 is an apocalyptic number.

2949534720 is a gapful number since it is divisible by the number (20) 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 2949534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871637317).

2949534720 is an abundant number, since it is smaller than the sum of its proper divisors (8793739914).

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

2949534720 is a wasteful number, since it uses less digits than its factorization.

2949534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2949534720 is about 54309.6190375149. The cubic root of 2949534720 is about 1434.1167368187.

Multiplying 2949534720 by its sum of digits (45), we get a square (132729062400 = 3643202).

2949534720 divided by its sum of digits (45) gives a square (65545216 = 80962).

The spelling of 2949534720 in words is "two billion, nine hundred forty-nine million, five hundred thirty-four thousand, seven hundred twenty".