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49023714240 = 263556011049
BaseRepresentation
bin101101101010000010…
…101000001111000000
311200112112202201100000
4231222002220033000
51300400032323430
634304324200000
73353565460404
oct555202501700
9150475681300
1049023714240
1119877677116
129601b39000
134813716747
142530bd7104
15141dce9e60
hexb6a0a83c0

49023714240 has 336 divisors, whose sum is σ = 175324312800. Its totient is φ = 13038796800.

The previous prime is 49023714169. The next prime is 49023714241. The reversal of 49023714240 is 4241732094.

49023714240 is a `hidden beast` number, since 49 + 0 + 2 + 371 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49023714195 and 49023714204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49023714241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46733236 + ... + 46734284.

It is an arithmetic number, because the mean of its divisors is an integer number (521798550).

Almost surely, 249023714240 is an apocalyptic number.

49023714240 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 49023714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87662156400).

49023714240 is an abundant number, since it is smaller than the sum of its proper divisors (126300598560).

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

49023714240 is a wasteful number, since it uses less digits than its factorization.

49023714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 49023714240 in words is "forty-nine billion, twenty-three million, seven hundred fourteen thousand, two hundred forty".