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49483392 = 273741449
BaseRepresentation
bin1011110011000…
…0111010000000
310110010000110020
42330300322000
5100131432032
64524333440
71140413310
oct274607200
9113100406
1049483392
1125a28672
12146a4280
13a33721a
146801440
154526b2c
hex2f30e80

49483392 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 13762560.

The previous prime is 49483387. The next prime is 49483403. The reversal of 49483392 is 29338494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 109984 + ... + 110432.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 249483392 is an apocalyptic number.

49483392 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 49483392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

49483392 is an abundant number, since it is smaller than the sum of its proper divisors (104740608).

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

49483392 is a wasteful number, since it uses less digits than its factorization.

49483392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 49483392 is about 7034.4432615524. The cubic root of 49483392 is about 367.1299546953.

The spelling of 49483392 in words is "forty-nine million, four hundred eighty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 449 492 574 656 672 861 896 898 984 1148 1312 1344 1347 1722 1796 1968 2296 2624 2688 2694 3143 3444 3592 3936 4592 5248 5388 6286 6888 7184 7872 9184 9429 10776 12572 13776 14368 15744 18368 18409 18858 21552 25144 27552 28736 36736 36818 37716 43104 50288 55104 55227 57472 73636 75432 86208 100576 110208 110454 128863 147272 150864 172416 201152 220908 257726 294544 301728 386589 402304 441816 515452 589088 603456 773178 883632 1030904 1178176 1206912 1546356 1767264 2061808 2356352 3092712 3534528 4123616 6185424 7069056 8247232 12370848 16494464 24741696 49483392