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49180716 = 223313231523
BaseRepresentation
bin1011101110011…
…1000000101100
310102112122021000
42323213000230
5100042240331
64514040300
71135013004
oct273470054
9112478230
1049180716
1125841222
1214579090
13a25c520
146763004
1544b70e6
hex2ee702c

49180716 has 96 divisors (see below), whose sum is σ = 143377920. Its totient is φ = 14465088.

The previous prime is 49180709. The next prime is 49180717. The reversal of 49180716 is 61708194.

49180716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (49180717) 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 31 ways as a sum of consecutive naturals, for example, 31531 + ... + 33053.

It is an arithmetic number, because the mean of its divisors is an integer number (1493520).

Almost surely, 249180716 is an apocalyptic number.

49180716 is a gapful number since it is divisible by the number (46) 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 49180716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71688960).

49180716 is an abundant number, since it is smaller than the sum of its proper divisors (94197204).

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

49180716 is a wasteful number, since it uses less digits than its factorization.

49180716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 49180716 is about 7012.8964059082. The cubic root of 49180716 is about 366.3798796977.

The spelling of 49180716 in words is "forty-nine million, one hundred eighty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1523 1794 2484 2691 3046 3588 4569 5382 6092 8073 9138 10764 13707 16146 18276 19799 27414 32292 35029 39598 41121 54828 59397 70058 79196 82242 105087 118794 140116 164484 178191 210174 237588 315261 356382 420348 455377 534573 630522 712764 910754 945783 1069146 1261044 1366131 1821508 1891566 2138292 2732262 3783132 4098393 5464524 8196786 12295179 16393572 24590358 49180716