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48355440 = 24357107269
BaseRepresentation
bin1011100001110…
…1100001110000
310100222201012020
42320131201300
544334333230
64444231440
71125004650
oct270354160
9110881166
1048355440
1125328181
121423b580
13a0309b3
1465ca360
1543a2810
hex2e1d870

48355440 has 160 divisors (see below), whose sum is σ = 173560320. Its totient is φ = 10908672.

The previous prime is 48355421. The next prime is 48355469. The reversal of 48355440 is 4455384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179626 + ... + 179894.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 248355440 is an apocalyptic number.

48355440 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 48355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780160).

48355440 is an abundant number, since it is smaller than the sum of its proper divisors (125204880).

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

48355440 is a wasteful number, since it uses less digits than its factorization.

48355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 48355440 is about 6953.8075900905. The cubic root of 48355440 is about 364.3189652737.

The spelling of 48355440 in words is "forty-eight million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 107 112 120 140 168 210 214 240 269 280 321 336 420 428 535 538 560 642 749 807 840 856 1070 1076 1284 1345 1498 1605 1614 1680 1712 1883 2140 2152 2247 2568 2690 2996 3210 3228 3745 3766 4035 4280 4304 4494 5136 5380 5649 5992 6420 6456 7490 7532 8070 8560 8988 9415 10760 11235 11298 11984 12840 12912 14980 15064 16140 17976 18830 21520 22470 22596 25680 28245 28783 29960 30128 32280 35952 37660 44940 45192 56490 57566 59920 64560 75320 86349 89880 90384 112980 115132 143915 150640 172698 179760 201481 225960 230264 287830 345396 402962 431745 451920 460528 575660 604443 690792 805924 863490 1007405 1151320 1208886 1381584 1611848 1726980 2014810 2302640 2417772 3022215 3223696 3453960 4029620 4835544 6044430 6907920 8059240 9671088 12088860 16118480 24177720 48355440