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49009760 = 2553141241
BaseRepresentation
bin1011101011110…
…1010001100000
310102012221202022
42322331101200
5100021303020
64510241012
71133401412
oct272752140
9112187668
1049009760
1125734838
12144b6168
13a1cc777
14671a9b2
154481625
hex2ebd460

49009760 has 96 divisors (see below), whose sum is σ = 122943744. Its totient is φ = 18432000.

The previous prime is 49009733. The next prime is 49009771. The reversal of 49009760 is 6790094.

It is a happy number.

49009760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49009760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203240 + ... + 203480.

It is an arithmetic number, because the mean of its divisors is an integer number (1280664).

Almost surely, 249009760 is an apocalyptic number.

49009760 is a gapful number since it is divisible by the number (40) 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 49009760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

49009760 is an abundant number, since it is smaller than the sum of its proper divisors (73933984).

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

49009760 is a wasteful number, since it uses less digits than its factorization.

49009760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 49009760 is about 7000.6971081457. The cubic root of 49009760 is about 365.9548651878.

The spelling of 49009760 in words is "forty-nine million, nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 80 82 124 155 160 164 205 241 248 310 328 410 482 496 620 656 820 964 992 1205 1240 1271 1312 1640 1928 2410 2480 2542 3280 3856 4820 4960 5084 6355 6560 7471 7712 9640 9881 10168 12710 14942 19280 19762 20336 25420 29884 37355 38560 39524 40672 49405 50840 59768 74710 79048 98810 101680 119536 149420 158096 197620 203360 239072 298840 306311 316192 395240 597680 612622 790480 1195360 1225244 1531555 1580960 2450488 3063110 4900976 6126220 9801952 12252440 24504880 49009760