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49036680 = 233257112961
BaseRepresentation
bin1011101100001…
…1110110001000
310102021022200100
42323003312020
5100023133210
64511005400
71133543040
oct273036610
9112238610
1049036680
1125752a90
1214509860
13a20bab4
146726720
1544895c0
hex2ec3d88

49036680 has 384 divisors, whose sum is σ = 208915200. Its totient is φ = 9676800.

The previous prime is 49036679. The next prime is 49036681. The reversal of 49036680 is 8663094.

49036680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49036679) and next prime (49036681).

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 (49036681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803850 + ... + 803910.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 249036680 is an apocalyptic number.

49036680 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 49036680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

49036680 is an abundant number, since it is smaller than the sum of its proper divisors (159878520).

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

49036680 is a wasteful number, since it uses less digits than its factorization.

49036680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49036680 is about 7002.6195098691. The cubic root of 49036680 is about 366.0218566182.

The spelling of 49036680 in words is "forty-nine million, thirty-six thousand, six hundred eighty".