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49194216 = 233489853
BaseRepresentation
bin1011101110101…
…0010011101000
310102120022210000
42323222103220
5100043203331
64514223000
71135100241
oct273522350
9112508700
1049194216
1125850385
1214584a60
13a265706
146767cc8
1544bb0e6
hex2eea4e8

49194216 has 80 divisors (see below), whose sum is σ = 139500900. Its totient is φ = 16194816.

The previous prime is 49194199. The next prime is 49194227. The reversal of 49194216 is 61249194.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40373316 + 8820900 = 6354^2 + 2970^2 .

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 19 ways as a sum of consecutive naturals, for example, 57246 + ... + 58098.

Almost surely, 249194216 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 49194216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69750450).

49194216 is an abundant number, since it is smaller than the sum of its proper divisors (90306684).

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

49194216 is a wasteful number, since it uses less digits than its factorization.

49194216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 947 counting only the distinct ones).

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

The square root of 49194216 is about 7013.8588523009. The cubic root of 49194216 is about 366.4134001252.

The spelling of 49194216 in words is "forty-nine million, one hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 267 324 356 534 648 712 801 853 1068 1602 1706 2136 2403 2559 3204 3412 4806 5118 6408 6824 7209 7677 9612 10236 14418 15354 19224 20472 23031 28836 30708 46062 57672 61416 69093 75917 92124 138186 151834 184248 227751 276372 303668 455502 552744 607336 683253 911004 1366506 1822008 2049759 2733012 4099518 5466024 6149277 8199036 12298554 16398072 24597108 49194216