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49493136 = 24372111913
BaseRepresentation
bin1011110011001…
…1010010010000
310110010111211010
42330303102100
5100132240021
64524450520
71140453600
oct274632220
9113114733
1049493136
1125a34a20
12146a9a40
13a33b7a4
146804c00
154529976
hex2f33490

49493136 has 120 divisors (see below), whose sum is σ = 162337824. Its totient is φ = 12848640.

The previous prime is 49493123. The next prime is 49493159. The reversal of 49493136 is 63139494.

It is a super-2 number, since 2×494931362 = 4899141022228992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49493094 and 49493103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24916 + ... + 26828.

Almost surely, 249493136 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 49493136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81168912).

49493136 is an abundant number, since it is smaller than the sum of its proper divisors (112844688).

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

49493136 is a wasteful number, since it uses less digits than its factorization.

49493136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1936 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 49493136 is about 7035.1358195844. The cubic root of 49493136 is about 367.1540508574.

The spelling of 49493136 in words is "forty-nine million, four hundred ninety-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 1913 2156 2352 3234 3696 3826 4312 5739 6468 7652 8624 11478 12936 13391 15304 21043 22956 25872 26782 30608 40173 42086 45912 53564 63129 80346 84172 91824 93737 107128 126258 147301 160692 168344 187474 214256 252516 281211 294602 321384 336688 374948 441903 505032 562422 589204 642768 749896 883806 1010064 1031107 1124844 1178408 1499792 1767612 2062214 2249688 2356816 3093321 3535224 4124428 4499376 6186642 7070448 8248856 12373284 16497712 24746568 49493136