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49608126 = 2341971227
BaseRepresentation
bin1011110100111…
…1010110111110
310110100100120000
42331033112332
5100144430001
64531135130
71141443051
oct275172676
9113310500
1049608126
1126003357
12147444a6
13a37bc29
146834a98
15454da86
hex2f4f5be

49608126 has 80 divisors (see below), whose sum is σ = 119180160. Its totient is φ = 15377040.

The previous prime is 49608103. The next prime is 49608133. The reversal of 49608126 is 62180694.

49608126 is a `hidden beast` number, since 49 + 608 + 1 + 2 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218425 + ... + 218651.

It is an arithmetic number, because the mean of its divisors is an integer number (1489752).

Almost surely, 249608126 is an apocalyptic number.

49608126 is the 5751-st pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49608126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590080).

49608126 is an abundant number, since it is smaller than the sum of its proper divisors (69572034).

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

49608126 is a wasteful number, since it uses less digits than its factorization.

49608126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49608126 is about 7043.3036282699. The cubic root of 49608126 is about 367.4381736892.

The spelling of 49608126 in words is "forty-nine million, six hundred eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 71 81 114 142 162 171 213 227 342 426 454 513 639 681 1026 1278 1349 1362 1539 1917 2043 2698 3078 3834 4047 4086 4313 5751 6129 8094 8626 11502 12141 12258 12939 16117 18387 24282 25878 32234 36423 36774 38817 48351 72846 77634 96702 109269 116451 145053 218538 232902 290106 306223 349353 435159 612446 698706 870318 918669 1305477 1837338 2610954 2756007 5512014 8268021 16536042 24804063 49608126