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49116816 = 2432726961
BaseRepresentation
bin1011101101011…
…1011010010000
310102102101121100
42323113122100
5100033214231
64512424400
71134325500
oct273273220
9112371540
1049116816
11257a8211
1214548100
13a239408
146747a00
1544a31e6
hex2ed7690

49116816 has 90 divisors (see below), whose sum is σ = 159924102. Its totient is φ = 14031360.

The previous prime is 49116787. The next prime is 49116857. The reversal of 49116816 is 61861194.

It is a happy number.

49116816 is a `hidden beast` number, since 491 + 168 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 2822400 = 6804^2 + 1680^2 .

It is a super-2 number, since 2×491168162 = 4824923227955712, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3576 + ... + 10536.

Almost surely, 249116816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49116816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79962051).

49116816 is an abundant number, since it is smaller than the sum of its proper divisors (110807286).

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

49116816 is a wasteful number, since it uses less digits than its factorization.

49116816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6973 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 49116816 is about 7008.3390328950. The cubic root of 49116816 is about 366.2211330516.

The spelling of 49116816 in words is "forty-nine million, one hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 6961 7056 13922 20883 27844 41766 48727 55688 62649 83532 97454 111376 125298 146181 167064 194908 250596 292362 334128 341089 389816 438543 501192 584724 682178 779632 877086 1002384 1023267 1169448 1364356 1754172 2046534 2338896 2728712 3069801 3508344 4093068 5457424 6139602 7016688 8186136 12279204 16372272 24558408 49116816