Search a number
-
+
49908320 = 2557114051
BaseRepresentation
bin1011111001100…
…0101001100000
310110220121100022
42332120221200
5100234031240
64541413012
71144133210
oct276305140
9113817308
1049908320
1126198950
121486a168
13a455767
1468b2240
1545ac9b5
hex2f98a60

49908320 has 96 divisors (see below), whose sum is σ = 147038976. Its totient is φ = 15552000.

The previous prime is 49908319. The next prime is 49908323. The reversal of 49908320 is 2380994.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49908323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10295 + ... + 14345.

It is an arithmetic number, because the mean of its divisors is an integer number (1531656).

Almost surely, 249908320 is an apocalyptic number.

49908320 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 49908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73519488).

49908320 is an abundant number, since it is smaller than the sum of its proper divisors (97130656).

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

49908320 is a wasteful number, since it uses less digits than its factorization.

49908320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 49908320 is about 7064.5820824731. The cubic root of 49908320 is about 368.1778440958.

The spelling of 49908320 in words is "forty-nine million, nine hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 4051 6160 8102 12320 16204 20255 28357 32408 40510 44561 56714 64816 81020 89122 113428 129632 141785 162040 178244 222805 226856 283570 311927 324080 356488 445610 453712 567140 623854 648160 712976 891220 907424 1134280 1247708 1425952 1559635 1782440 2268560 2495416 3119270 3564880 4537120 4990832 6238540 7129760 9981664 12477080 24954160 49908320