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48468240 = 24335191181
BaseRepresentation
bin1011100011100…
…1000100010000
310101012102221000
42320321010100
544401440430
64450502000
71125654552
oct270710420
9111172830
1048468240
11253a49a7
1214294900
13a070142
1466194d2
1543c5e60
hex2e39110

48468240 has 160 divisors (see below), whose sum is σ = 175881600. Its totient is φ = 12234240.

The previous prime is 48468227. The next prime is 48468247. The reversal of 48468240 is 4286484.

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 = 48468195 and 48468204.

It is not an unprimeable number, because it can be changed into a prime (48468247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40450 + ... + 41630.

It is an arithmetic number, because the mean of its divisors is an integer number (1099260).

Almost surely, 248468240 is an apocalyptic number.

48468240 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 48468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87940800).

48468240 is an abundant number, since it is smaller than the sum of its proper divisors (127413360).

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

48468240 is a wasteful number, since it uses less digits than its factorization.

48468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48468240 is about 6961.9135300577. The cubic root of 48468240 is about 364.6020307436.

The spelling of 48468240 in words is "forty-eight million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1181 1368 1520 1710 2052 2160 2280 2362 2565 2736 3420 3543 4104 4560 4724 5130 5905 6840 7086 8208 9448 10260 10629 11810 13680 14172 17715 18896 20520 21258 22439 23620 28344 31887 35430 41040 42516 44878 47240 53145 56688 63774 67317 70860 85032 89756 94480 106290 112195 127548 134634 141720 159435 170064 179512 201951 212580 224390 255096 269268 283440 318870 336585 359024 403902 425160 448780 510192 538536 605853 637740 673170 807804 850320 897560 1009755 1077072 1211706 1275480 1346340 1615608 1795120 2019510 2423412 2550960 2692680 3029265 3231216 4039020 4846824 5385360 6058530 8078040 9693648 12117060 16156080 24234120 48468240