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48339840 = 2735171481
BaseRepresentation
bin1011100001100…
…1101110000000
310100221220210110
42320121232000
544333333330
64444031320
71124611323
oct270315600
9110856713
1048339840
112531748a
1214232540
13a026873
1465c47ba
15439cdb0
hex2e19b80

48339840 has 128 divisors (see below), whose sum is σ = 163257120. Its totient is φ = 12124160.

The previous prime is 48339827. The next prime is 48339847. The reversal of 48339840 is 4893384.

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

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48339847) 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 15 ways as a sum of consecutive naturals, for example, 31900 + ... + 33380.

Almost surely, 248339840 is an apocalyptic number.

48339840 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 48339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81628560).

48339840 is an abundant number, since it is smaller than the sum of its proper divisors (114917280).

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

48339840 is a wasteful number, since it uses less digits than its factorization.

48339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 48339840 is about 6952.6858119722. The cubic root of 48339840 is about 364.2797832835.

The spelling of 48339840 in words is "forty-eight million, three hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1481 1632 1920 2040 2176 2720 2962 3264 4080 4443 5440 5924 6528 7405 8160 8886 10880 11848 14810 16320 17772 22215 23696 25177 29620 32640 35544 44430 47392 50354 59240 71088 75531 88860 94784 100708 118480 125885 142176 151062 177720 189568 201416 236960 251770 284352 302124 355440 377655 402832 473920 503540 568704 604248 710880 755310 805664 947840 1007080 1208496 1421760 1510620 1611328 2014160 2416992 2843520 3021240 3222656 4028320 4833984 6042480 8056640 9667968 12084960 16113280 24169920 48339840