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48467808 = 253523271
BaseRepresentation
bin1011100011100…
…0111101100000
310101012102100000
42320320331200
544401432213
64450500000
71125653364
oct270707540
9111172300
1048467808
11253a4644
1214294600
13a06cb9c
1466192a4
1543c5c73
hex2e38f60

48467808 has 144 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 15396480.

The previous prime is 48467807. The next prime is 48467813. The reversal of 48467808 is 80876484.

48467808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48467807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178713 + ... + 178983.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584).

Almost surely, 248467808 is an apocalyptic number.

48467808 is a gapful number since it is divisible by the number (48) 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 48467808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

48467808 is an abundant number, since it is smaller than the sum of its proper divisors (101232288).

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

48467808 is a wasteful number, since it uses less digits than its factorization.

48467808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 48467808 is about 6961.8825040358. The cubic root of 48467808 is about 364.6009475013.

It can be divided in two parts, 48 and 467808, that added together give a square (467856 = 6842).

The spelling of 48467808 in words is "forty-eight million, four hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 271 276 288 324 368 414 432 486 542 552 621 648 736 813 828 864 972 1084 1104 1242 1296 1626 1656 1863 1944 2168 2208 2439 2484 2592 3252 3312 3726 3888 4336 4878 4968 5589 6233 6504 6624 7317 7452 7776 8672 9756 9936 11178 12466 13008 14634 14904 18699 19512 19872 21951 22356 24932 26016 29268 29808 37398 39024 43902 44712 49864 56097 58536 59616 65853 74796 78048 87804 89424 99728 112194 117072 131706 149592 168291 175608 178848 199456 224388 234144 263412 299184 336582 351216 448776 504873 526824 598368 673164 702432 897552 1009746 1053648 1346328 1514619 1795104 2019492 2107296 2692656 3029238 4038984 5385312 6058476 8077968 12116952 16155936 24233904 48467808