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49627242 = 2347107409
BaseRepresentation
bin1011110101010…
…0000001101010
310110101022210000
42331110001222
5100201032432
64531403430
71141552560
oct275240152
9113338700
1049627242
1126016755
1214753576
13a387842
14683ba30
15455457c
hex2f5406a

49627242 has 80 divisors (see below), whose sum is σ = 128589120. Its totient is φ = 14012352.

The previous prime is 49627241. The next prime is 49627243. The reversal of 49627242 is 24272694.

49627242 is a `hidden beast` number, since 4 + 9 + 627 + 24 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (49627241) and next prime (49627243).

It is a junction number, because it is equal to n+sod(n) for n = 49627197 and 49627206.

It is not an unprimeable number, because it can be changed into a prime (49627241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121134 + ... + 121542.

It is an arithmetic number, because the mean of its divisors is an integer number (1607364).

Almost surely, 249627242 is an apocalyptic number.

49627242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 49627242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64294560).

49627242 is an abundant number, since it is smaller than the sum of its proper divisors (78961878).

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

49627242 is a wasteful number, since it uses less digits than its factorization.

49627242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 49627242 is about 7044.6605312109. The cubic root of 49627242 is about 367.4853638486.

The spelling of 49627242 in words is "forty-nine million, six hundred twenty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 107 126 162 189 214 321 378 409 567 642 749 818 963 1134 1227 1498 1926 2247 2454 2863 2889 3681 4494 5726 5778 6741 7362 8589 8667 11043 13482 17178 17334 20223 22086 25767 33129 40446 43763 51534 60669 66258 77301 87526 121338 131289 154602 231903 262578 306341 393867 463806 612682 787734 919023 1181601 1838046 2363202 2757069 3544803 5514138 7089606 8271207 16542414 24813621 49627242