47949040 has 80 divisors (see below), whose sum is σ = 116367552. Its totient is φ = 18358272.

The previous prime is 47949037. The next prime is 47949053. The reversal of 47949040 is 4094974.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×47949040² = 4598220873843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287037 + ... + 287203.

Almost surely, 2^47949040 is an apocalyptic number.

47949040 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 47949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58183776).

47949040 is an abundant number, since it is smaller than the sum of its proper divisors (68418512).

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

47949040 is a wasteful number, since it uses less digits than its factorization.

47949040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 47949040 is about 6924.5245324138. The cubic root of 47949040 is about 363.2954612678.

The spelling of 47949040 in words is "forty-seven million, nine hundred forty-nine thousand, forty".