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49250298240 = 273351113191049
BaseRepresentation
bin101101110111100010…
…111110100110000000
311201010100010101011000
4231313202332212000
51301331034020430
634343020452000
73362316425223
oct556742764600
9151110111130
1049250298240
1119983567020
1296659aa000
13484b64ac10
142552d395ba
151433b55e60
hexb778be980

49250298240 has 1024 divisors, whose sum is σ = 215913600000. Its totient is φ = 10431037440.

The previous prime is 49250298197. The next prime is 49250298277. The reversal of 49250298240 is 4289205294.

49250298240 is a `hidden beast` number, since 492 + 50 + 2 + 98 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46949236 + ... + 46950284.

It is an arithmetic number, because the mean of its divisors is an integer number (210853125).

Almost surely, 249250298240 is an apocalyptic number.

49250298240 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 49250298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800000).

49250298240 is an abundant number, since it is smaller than the sum of its proper divisors (166663301760).

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

49250298240 is a wasteful number, since it uses less digits than its factorization.

49250298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 49250298240 in words is "forty-nine billion, two hundred fifty million, two hundred ninety-eight thousand, two hundred forty".