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48141240 = 23357223257
BaseRepresentation
bin1011011110100…
…1001110111000
310100120211100220
42313221032320
544311004430
64435500040
71123123320
oct267511670
9110524326
1048141240
11251a1254
1214157620
139c87354
146572280
15435e110
hex2de93b8

48141240 has 128 divisors (see below), whose sum is σ = 166440960. Its totient is φ = 10911744.

The previous prime is 48141239. The next prime is 48141259. The reversal of 48141240 is 4214184.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48141240.

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, 187192 + ... + 187448.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 248141240 is an apocalyptic number.

48141240 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 48141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83220480).

48141240 is an abundant number, since it is smaller than the sum of its proper divisors (118299720).

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

48141240 is a wasteful number, since it uses less digits than its factorization.

48141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 48141240 is about 6938.3888619765. The cubic root of 48141240 is about 363.7802280001.

The spelling of 48141240 in words is "forty-eight million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 223 257 280 420 446 514 669 771 840 892 1028 1115 1285 1338 1542 1561 1784 1799 2056 2230 2570 2676 3084 3122 3345 3598 3855 4460 4683 5140 5352 5397 6168 6244 6690 7196 7710 7805 8920 8995 9366 10280 10794 12488 13380 14392 15420 15610 17990 18732 21588 23415 26760 26985 30840 31220 35980 37464 43176 46830 53970 57311 62440 71960 93660 107940 114622 171933 187320 215880 229244 286555 343866 401177 458488 573110 687732 802354 859665 1146220 1203531 1375464 1604708 1719330 2005885 2292440 2407062 3209416 3438660 4011770 4814124 6017655 6877320 8023540 9628248 12035310 16047080 24070620 48141240