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48970824 = 2337319403
BaseRepresentation
bin1011101011001…
…1110001001000
310102010222100020
42322303301020
5100014031244
64505340440
71133150040
oct272636110
9112128306
1048970824
1125708561
1214497720
13a1b7b26
14670a720
154474d19
hex2eb3c48

48970824 has 64 divisors (see below), whose sum is σ = 144445440. Its totient is φ = 13538880.

The previous prime is 48970811. The next prime is 48970843. The reversal of 48970824 is 42807984.

48970824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507 + ... + 9909.

It is an arithmetic number, because the mean of its divisors is an integer number (2256960).

Almost surely, 248970824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48970824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72222720).

48970824 is an abundant number, since it is smaller than the sum of its proper divisors (95474616).

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

48970824 is a wasteful number, since it uses less digits than its factorization.

48970824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 48970824 is about 6997.9156896893. The cubic root of 48970824 is about 365.8579280768.

It can be divided in two parts, 48970 and 824, that added together give a palindrome (49794).

The spelling of 48970824 in words is "forty-eight million, nine hundred seventy thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 9403 18806 28209 37612 56418 65821 75224 112836 131642 197463 225672 263284 291493 394926 526568 582986 789852 874479 1165972 1579704 1748958 2040451 2331944 3497916 4080902 6121353 6995832 8161804 12242706 16323608 24485412 48970824