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49930920 = 233251347227
BaseRepresentation
bin1011111001111…
…0001010101000
310110221202100100
42332132022220
5100240242140
64542105400
71144256124
oct276361250
9113852310
1049930920
1126203926
121487b260
13a462b30
1468ba584
1545b4530
hex2f9e2a8

49930920 has 192 divisors, whose sum is σ = 179262720. Its totient is φ = 11976192.

The previous prime is 49930901. The next prime is 49930927. The reversal of 49930920 is 2903994.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (49930927) 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, 219847 + ... + 220073.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 249930920 is an apocalyptic number.

49930920 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 49930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

49930920 is an abundant number, since it is smaller than the sum of its proper divisors (129331800).

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

49930920 is a wasteful number, since it uses less digits than its factorization.

49930920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 49930920 is about 7066.1814298813. The cubic root of 49930920 is about 368.2334097384.

The spelling of 49930920 in words is "forty-nine million, nine hundred thirty thousand, nine hundred twenty".