Search a number
-
+
49000080 = 2435613347
BaseRepresentation
bin1011101011101…
…0111010010000
310102012110110210
42322322322100
5100021000310
64510124120
71133331243
oct272727220
9112173423
1049000080
1125728538
12144b0640
13a1c823c
14671725a
15447d820
hex2ebae90

49000080 has 80 divisors (see below), whose sum is σ = 154436544. Its totient is φ = 12848640.

The previous prime is 49000079. The next prime is 49000093. The reversal of 49000080 is 8000094.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12967 + ... + 16313.

Almost surely, 249000080 is an apocalyptic number.

49000080 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 49000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77218272).

49000080 is an abundant number, since it is smaller than the sum of its proper divisors (105436464).

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

49000080 is a wasteful number, since it uses less digits than its factorization.

49000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 49000080 is about 7000.0057142834. The cubic root of 49000080 is about 365.9307701481.

The spelling of 49000080 in words is "forty-nine million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3347 3660 4880 6694 7320 10041 13388 14640 16735 20082 26776 33470 40164 50205 53552 66940 80328 100410 133880 160656 200820 204167 267760 401640 408334 612501 803280 816668 1020835 1225002 1633336 2041670 2450004 3062505 3266672 4083340 4900008 6125010 8166680 9800016 12250020 16333360 24500040 49000080