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48144320 = 265721493
BaseRepresentation
bin1011011110100…
…1111111000000
310100120222120222
42313221333000
544311104240
64435522212
71123135310
oct267517700
9110528528
1048144320
11251a35a4
1214159368
139c88883
146573440
15435eeb5
hex2de9fc0

48144320 has 56 divisors (see below), whose sum is σ = 131027424. Its totient is φ = 16505856.

The previous prime is 48144277. The next prime is 48144331. The reversal of 48144320 is 2344184.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 48144320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8507 + ... + 12986.

Almost surely, 248144320 is an apocalyptic number.

48144320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48144320 is an abundant number, since it is smaller than the sum of its proper divisors (82883104).

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

48144320 is a wasteful number, since it uses less digits than its factorization.

48144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21517 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 48144320 is about 6938.6108119709. The cubic root of 48144320 is about 363.7879858615.

The spelling of 48144320 in words is "forty-eight million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 21493 42986 85972 107465 150451 171944 214930 300902 343888 429860 601804 687776 752255 859720 1203608 1375552 1504510 1719440 2407216 3009020 3438880 4814432 6018040 6877760 9628864 12036080 24072160 48144320