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48454120 = 235111343197
BaseRepresentation
bin1011100011010…
…1100111101000
310101011201120001
42320311213220
544401012440
64450312344
71125565441
oct270654750
9111151501
1048454120
1125395330
12142886b4
13a0668a0
1466142c8
1543c1b9a
hex2e359e8

48454120 has 128 divisors (see below), whose sum is σ = 131725440. Its totient is φ = 15805440.

The previous prime is 48454103. The next prime is 48454121. The reversal of 48454120 is 2145484.

It is not an unprimeable number, because it can be changed into a prime (48454121) 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, 245862 + ... + 246058.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 248454120 is an apocalyptic number.

48454120 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 48454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

48454120 is an abundant number, since it is smaller than the sum of its proper divisors (83271320).

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

48454120 is a wasteful number, since it uses less digits than its factorization.

48454120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 48454120 is about 6960.8993671795. The cubic root of 48454120 is about 364.5666214344.

The spelling of 48454120 in words is "forty-eight million, four hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 43 44 52 55 65 86 88 104 110 130 143 172 197 215 220 260 286 344 394 430 440 473 520 559 572 715 788 860 946 985 1118 1144 1430 1576 1720 1892 1970 2167 2236 2365 2561 2795 2860 3784 3940 4334 4472 4730 5122 5590 5720 6149 7880 8471 8668 9460 10244 10835 11180 12298 12805 16942 17336 18920 20488 21670 22360 24596 25610 28171 30745 33884 42355 43340 49192 51220 56342 61490 67768 84710 86680 93181 102440 110123 112684 122980 140855 169420 186362 220246 225368 245960 281710 338840 372724 440492 465905 550615 563420 745448 880984 931810 1101230 1126840 1211353 1863620 2202460 2422706 3727240 4404920 4845412 6056765 9690824 12113530 24227060 48454120