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49400106 = 2373783383
BaseRepresentation
bin1011110001110…
…0100100101010
310102221210012120
42330130210222
5100121300411
64522452110
71136615430
oct274344452
9112853176
1049400106
1125981038
1214664036
13a308342
1467bcd50
15450c106
hex2f1c92a

49400106 has 64 divisors (see below), whose sum is σ = 117669888. Its totient is φ = 13531968.

The previous prime is 49400083. The next prime is 49400107. The reversal of 49400106 is 60100494.

49400106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×494001062 = 4880740945622472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49400107) 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, 128791 + ... + 129173.

It is an arithmetic number, because the mean of its divisors is an integer number (1838592).

Almost surely, 249400106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49400106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58834944).

49400106 is an abundant number, since it is smaller than the sum of its proper divisors (68269782).

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

49400106 is a wasteful number, since it uses less digits than its factorization.

49400106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49400106 is about 7028.5208970309. The cubic root of 49400106 is about 366.9238656425.

The spelling of 49400106 in words is "forty-nine million, four hundred thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 37 42 74 83 111 166 222 249 259 383 498 518 581 766 777 1149 1162 1554 1743 2298 2681 3071 3486 5362 6142 8043 9213 14171 16086 18426 21497 28342 31789 42513 42994 63578 64491 85026 95367 99197 128982 190734 198394 222523 297591 445046 595182 667569 1176193 1335138 2352386 3528579 7057158 8233351 16466702 24700053 49400106