Search a number
-
+
49860096 = 2931113227
BaseRepresentation
bin1011111000110…
…0111000000000
310110211011012020
42332030320000
5100231010341
64540401440
71143542466
oct276147000
9113734166
1049860096
11261656a0
1214846280
13a439820
14689c836
15459d566
hex2f8ce00

49860096 has 160 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 13885440.

The previous prime is 49860079. The next prime is 49860131. The reversal of 49860096 is 69006894.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219535 + ... + 219761.

Almost surely, 249860096 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 49860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78369984).

49860096 is an abundant number, since it is smaller than the sum of its proper divisors (106879872).

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

49860096 is a wasteful number, since it uses less digits than its factorization.

49860096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 49860096 is about 7061.1681753092. The cubic root of 49860096 is about 368.0592217230.

The spelling of 49860096 in words is "forty-nine million, eight hundred sixty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 227 256 264 286 312 352 384 416 429 454 512 528 572 624 681 704 768 832 858 908 1056 1144 1248 1362 1408 1536 1664 1716 1816 2112 2288 2496 2497 2724 2816 2951 3328 3432 3632 4224 4576 4992 4994 5448 5632 5902 6656 6864 7264 7491 8448 8853 9152 9984 9988 10896 11804 13728 14528 14982 16896 17706 18304 19968 19976 21792 23608 27456 29056 29964 32461 35412 36608 39952 43584 47216 54912 58112 59928 64922 70824 73216 79904 87168 94432 97383 109824 116224 119856 129844 141648 159808 174336 188864 194766 219648 239712 259688 283296 319616 348672 377728 389532 479424 519376 566592 639232 755456 779064 958848 1038752 1133184 1278464 1510912 1558128 1917696 2077504 2266368 3116256 3835392 4155008 4532736 6232512 8310016 12465024 16620032 24930048 49860096