Search a number
-
+
49000980 = 2235732381
BaseRepresentation
bin1011101011101…
…1001000010100
310102012111201010
42322323020110
5100021012410
64510132220
71133334000
oct272731024
9112174633
1049000980
1125729186
12144b1070
13a1c8782
146717700
15447dc20
hex2ebb214

49000980 has 96 divisors (see below), whose sum is σ = 160070400. Its totient is φ = 11195520.

The previous prime is 49000967. The next prime is 49000993. The reversal of 49000980 is 8900094.

49000980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49000967) and next prime (49000993).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 19390 + ... + 21770.

It is an arithmetic number, because the mean of its divisors is an integer number (1667400).

Almost surely, 249000980 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 49000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80035200).

49000980 is an abundant number, since it is smaller than the sum of its proper divisors (111069420).

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

49000980 is a wasteful number, since it uses less digits than its factorization.

49000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 49000980 is about 7000.0699996500. The cubic root of 49000980 is about 365.9330105232.

The spelling of 49000980 in words is "forty-nine million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2381 2940 3430 4116 4762 5145 6860 7143 9524 10290 11905 14286 16667 20580 23810 28572 33334 35715 47620 50001 66668 71430 83335 100002 116669 142860 166670 200004 233338 250005 333340 350007 466676 500010 583345 700014 816683 1000020 1166690 1400028 1633366 1750035 2333380 2450049 3266732 3500070 4083415 4900098 7000140 8166830 9800196 12250245 16333660 24500490 49000980