Search a number
-
+
49708080 = 243552557
BaseRepresentation
bin1011110110011…
…1110000110000
310110112102200000
42331213300300
5100211124310
64533230000
71142340342
oct275476060
9113472600
1049708080
1126071464
1214792300
13a3b5586
14685d292
15456d4c0
hex2f67c30

49708080 has 120 divisors (see below), whose sum is σ = 173186832. Its totient is φ = 13250304.

The previous prime is 49708079. The next prime is 49708103. The reversal of 49708080 is 8080794.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18162 + ... + 20718.

Almost surely, 249708080 is an apocalyptic number.

49708080 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 49708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86593416).

49708080 is an abundant number, since it is smaller than the sum of its proper divisors (123478752).

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

49708080 is a wasteful number, since it uses less digits than its factorization.

49708080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 49708080 is about 7050.3957335741. The cubic root of 49708080 is about 367.6847883676.

The spelling of 49708080 in words is "forty-nine million, seven hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 2557 3240 3888 4860 5114 6480 7671 9720 10228 12785 15342 19440 20456 23013 25570 30684 38355 40912 46026 51140 61368 69039 76710 92052 102280 115065 122736 138078 153420 184104 204560 207117 230130 276156 306840 345195 368208 414234 460260 552312 613680 621351 690390 828468 920520 1035585 1104624 1242702 1380780 1656936 1841040 2071170 2485404 2761560 3106755 3313872 4142340 4970808 5523120 6213510 8284680 9941616 12427020 16569360 24854040 49708080