[go: up one dir, main page]

Search a number
-
+
49943040 = 29357929
BaseRepresentation
bin1011111010000…
…1001000000000
310110222100222020
42332201020000
5100241134130
64542241440
71144336350
oct276411000
9113870866
1049943040
1126211a44
1214886280
13a4684c4
1468c0b60
1545b7e10
hex2fa1200

49943040 has 160 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 11403264.

The previous prime is 49943027. The next prime is 49943057. The reversal of 49943040 is 4034994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 49942992 and 49943010.

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, 53296 + ... + 54224.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 249943040 is an apocalyptic number.

49943040 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 49943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

49943040 is an abundant number, since it is smaller than the sum of its proper divisors (132723840).

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

49943040 is an equidigital number, since it uses as much as digits as its factorization.

49943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 49943040 is about 7067.0389839027. The cubic root of 49943040 is about 368.2632017515.

The spelling of 49943040 in words is "forty-nine million, nine hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 929 960 1120 1280 1344 1536 1680 1792 1858 1920 2240 2560 2688 2787 3360 3584 3716 3840 4480 4645 5376 5574 6503 6720 7432 7680 8960 9290 10752 11148 13006 13440 13935 14864 17920 18580 19509 22296 26012 26880 27870 29728 32515 37160 39018 44592 52024 53760 55740 59456 65030 74320 78036 89184 97545 104048 111480 118912 130060 148640 156072 178368 195090 208096 222960 237824 260120 297280 312144 356736 390180 416192 445920 475648 520240 594560 624288 713472 780360 832384 891840 1040480 1189120 1248576 1426944 1560720 1664768 1783680 2080960 2378240 2497152 3121440 3329536 3567360 4161920 4994304 6242880 7134720 8323840 9988608 12485760 16647680 24971520 49943040