Search a number
-
+
49315840 = 2155743
BaseRepresentation
bin1011110000100…
…0000000000000
310102210111121121
42330020000000
5100111101330
64521002024
71136114650
oct274100000
9112714547
1049315840
11259237a2
1214623314
13a2a8b92
14679a360
1544e217a
hex2f08000

49315840 has 128 divisors (see below), whose sum is σ = 138409920. Its totient is φ = 16515072.

The previous prime is 49315817. The next prime is 49315843. The reversal of 49315840 is 4851394.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 49315796 and 49315805.

It is not an unprimeable number, because it can be changed into a prime (49315843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146859 + ... + 1146901.

Almost surely, 249315840 is an apocalyptic number.

49315840 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 49315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69204960).

49315840 is an abundant number, since it is smaller than the sum of its proper divisors (89094080).

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

49315840 is an frugal number, since it uses more digits than its factorization.

49315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 49315840 is about 7022.5237628647. The cubic root of 49315840 is about 366.7151157284.

The spelling of 49315840 in words is "forty-nine million, three hundred fifteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 160 172 215 224 256 280 301 320 344 430 448 512 560 602 640 688 860 896 1024 1120 1204 1280 1376 1505 1720 1792 2048 2240 2408 2560 2752 3010 3440 3584 4096 4480 4816 5120 5504 6020 6880 7168 8192 8960 9632 10240 11008 12040 13760 14336 16384 17920 19264 20480 22016 24080 27520 28672 32768 35840 38528 40960 44032 48160 55040 57344 71680 77056 81920 88064 96320 110080 114688 143360 154112 163840 176128 192640 220160 229376 286720 308224 352256 385280 440320 573440 616448 704512 770560 880640 1146880 1232896 1409024 1541120 1761280 2465792 3082240 3522560 4931584 6164480 7045120 9863168 12328960 24657920 49315840