Search a number
-
+
49035790080 = 28325173141197
BaseRepresentation
bin101101101010110000…
…101100011100000000
311200120101111020021100
4231222300230130000
51300411130240310
634305435054400
73354103224054
oct555260543400
9150511436240
1049035790080
1119883474952
129605ba1400
134816084104
14253265bc64
15141edd2ec0
hexb6ac2c700

49035790080 has 864 divisors, whose sum is σ = 190920457728. Its totient is φ = 11560550400.

The previous prime is 49035790031. The next prime is 49035790087. The reversal of 49035790080 is 8009753094.

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 (49035790087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248912542 + ... + 248912738.

It is an arithmetic number, because the mean of its divisors is an integer number (220972752).

Almost surely, 249035790080 is an apocalyptic number.

49035790080 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 49035790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95460228864).

49035790080 is an abundant number, since it is smaller than the sum of its proper divisors (141884667648).

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

49035790080 is a wasteful number, since it uses less digits than its factorization.

49035790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 49035790080 in words is "forty-nine billion, thirty-five million, seven hundred ninety thousand, eighty".