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49069800 = 23345213233
BaseRepresentation
bin1011101100101…
…1111011101000
310102100000010000
42323023323220
5100030213200
64511423000
71134041433
oct273137350
9112300100
1049069800
112577595a
1214524a60
13a220bb0
14673481a
154494300
hex2ecbee8

49069800 has 240 divisors, whose sum is σ = 184324140. Its totient is φ = 12026880.

The previous prime is 49069771. The next prime is 49069819. The reversal of 49069800 is 896094.

It can be written as a sum of positive squares in 6 ways, for example, as 3992004 + 45077796 = 1998^2 + 6714^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 210484 + ... + 210716.

Almost surely, 249069800 is an apocalyptic number.

49069800 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 49069800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92162070).

49069800 is an abundant number, since it is smaller than the sum of its proper divisors (135254340).

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

49069800 is a wasteful number, since it uses less digits than its factorization.

49069800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 49069800 is about 7004.9839400244. The cubic root of 49069800 is about 366.1042433517.

It can be divided in two parts, 4906 and 9800, that added together give a triangular number (14706 = T171).

The spelling of 49069800 in words is "forty-nine million, sixty-nine thousand, eight hundred".