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49353840 = 2433573313
BaseRepresentation
bin1011110001000…
…1010001110000
310102212102202000
42330101101300
5100113310330
64521454000
71136333514
oct274212160
9112772660
1049353840
112594a2a8
1214641300
13a2c0273
1467aa144
1544ed560
hex2f11470

49353840 has 160 divisors (see below), whose sum is σ = 172875840. Its totient is φ = 12939264.

The previous prime is 49353833. The next prime is 49353841. The reversal of 49353840 is 4835394.

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

It is a junction number, because it is equal to n+sod(n) for n = 49353795 and 49353804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49353841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157524 + ... + 157836.

It is an arithmetic number, because the mean of its divisors is an integer number (1080474).

Almost surely, 249353840 is an apocalyptic number.

49353840 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 49353840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86437920).

49353840 is an abundant number, since it is smaller than the sum of its proper divisors (123522000).

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

49353840 is a wasteful number, since it uses less digits than its factorization.

49353840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 49353840 is about 7025.2288218961. The cubic root of 49353840 is about 366.8092815292.

The spelling of 49353840 in words is "forty-nine million, three hundred fifty-three thousand, eight hundred forty".

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 73 80 90 108 120 135 144 146 180 216 219 240 270 292 313 360 365 432 438 540 584 626 657 720 730 876 939 1080 1095 1168 1252 1314 1460 1565 1752 1878 1971 2160 2190 2504 2628 2817 2920 3130 3285 3504 3756 3942 4380 4695 5008 5256 5634 5840 6260 6570 7512 7884 8451 8760 9390 9855 10512 11268 12520 13140 14085 15024 15768 16902 17520 18780 19710 22536 22849 25040 26280 28170 31536 33804 37560 39420 42255 45072 45698 52560 56340 67608 68547 75120 78840 84510 91396 112680 114245 135216 137094 157680 169020 182792 205641 225360 228490 274188 338040 342735 365584 411282 456980 548376 616923 676080 685470 822564 913960 1028205 1096752 1233846 1370940 1645128 1827920 2056410 2467692 2741880 3084615 3290256 4112820 4935384 5483760 6169230 8225640 9870768 12338460 16451280 24676920 49353840