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49012992 = 283371013
BaseRepresentation
bin1011101011111…
…0000100000000
310102020010012000
42322332010000
5100021403432
64510304000
71133414010
oct272760400
9112203160
1049012992
1125737206
12144b8000
13a201092
14671bc40
15448257c
hex2ebe100

49012992 has 144 divisors (see below), whose sum is σ = 165809280. Its totient is φ = 13989888.

The previous prime is 49012981. The next prime is 49012993. The reversal of 49012992 is 29921094.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49012993) by changing a digit.

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, 47878 + ... + 48890.

Almost surely, 249012992 is an apocalyptic number.

49012992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82904640).

49012992 is an abundant number, since it is smaller than the sum of its proper divisors (116796288).

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

49012992 is a wasteful number, since it uses less digits than its factorization.

49012992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49012992 is about 7000.9279384950. The cubic root of 49012992 is about 365.9629094367.

The spelling of 49012992 in words is "forty-nine million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1013 1152 1344 1512 1728 1792 2016 2026 2304 2688 3024 3039 3456 4032 4052 5376 6048 6078 6912 7091 8064 8104 9117 12096 12156 14182 16128 16208 18234 21273 24192 24312 27351 28364 32416 36468 42546 48384 48624 54702 56728 63819 64832 72936 85092 97248 109404 113456 127638 129664 145872 170184 191457 194496 218808 226912 255276 259328 291744 340368 382914 388992 437616 453824 510552 583488 680736 765828 777984 875232 907648 1021104 1166976 1361472 1531656 1750464 1815296 2042208 2333952 2722944 3063312 3500928 4084416 5445888 6126624 7001856 8168832 12253248 16337664 24506496 49012992