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48335840 = 2557103419
BaseRepresentation
bin1011100001100…
…0101111100000
310100221201022022
42320120233200
544333221330
64444001012
71124563550
oct270305740
9110851268
1048335840
1125314483
1214230168
13a024ab7
1465c3160
15439bae5
hex2e18be0

48335840 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 16372224.

The previous prime is 48335839. The next prime is 48335849. The reversal of 48335840 is 4853384.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48335840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48335849) 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, 115151 + ... + 115569.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 248335840 is an apocalyptic number.

48335840 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 48335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

48335840 is an abundant number, since it is smaller than the sum of its proper divisors (83752480).

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

48335840 is a wasteful number, since it uses less digits than its factorization.

48335840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 48335840 is about 6952.3981474021. The cubic root of 48335840 is about 364.2697352615.

The spelling of 48335840 in words is "forty-eight million, three hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 103 112 140 160 206 224 280 412 419 515 560 721 824 838 1030 1120 1442 1648 1676 2060 2095 2884 2933 3296 3352 3605 4120 4190 5768 5866 6704 7210 8240 8380 11536 11732 13408 14420 14665 16480 16760 23072 23464 28840 29330 33520 43157 46928 57680 58660 67040 86314 93856 115360 117320 172628 215785 234640 302099 345256 431570 469280 604198 690512 863140 1208396 1381024 1510495 1726280 2416792 3020990 3452560 4833584 6041980 6905120 9667168 12083960 24167920 48335840