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49383959040 = 293351354959
BaseRepresentation
bin101101111111100000…
…110110101000000000
311201110122122001022000
4231333200312220000
51302114243142130
634404153344000
73365531503653
oct557740665000
9151418561260
1049383959040
1119a41a59399
1296a2708000
134870248a50
1425669ad89a
151440759260
hexb7f836a00

49383959040 has 320 divisors, whose sum is σ = 188912908800. Its totient is φ = 12155830272.

The previous prime is 49383958951. The next prime is 49383959057. The reversal of 49383959040 is 4095938394.

49383959040 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 3 + 9 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871081 + ... + 926039.

It is an arithmetic number, because the mean of its divisors is an integer number (590352840).

Almost surely, 249383959040 is an apocalyptic number.

49383959040 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 49383959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94456454400).

49383959040 is an abundant number, since it is smaller than the sum of its proper divisors (139528949760).

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

49383959040 is a wasteful number, since it uses less digits than its factorization.

49383959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55004 (or 54982 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 49383959040 in words is "forty-nine billion, three hundred eighty-three million, nine hundred fifty-nine thousand, forty".