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48023780 = 22573773127
BaseRepresentation
bin1011011100110…
…0100011100100
310100100212020112
42313030203210
544243230110
64433152152
71122124010
oct267144344
9110325215
1048023780
1125120a82
12140bb658
139c45a4c
146541540
154339405
hex2dcc8e4

48023780 has 96 divisors (see below), whose sum is σ = 120938496. Its totient is φ = 15676416.

The previous prime is 48023771. The next prime is 48023821. The reversal of 48023780 is 8732084.

48023780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 378077 + ... + 378203.

It is an arithmetic number, because the mean of its divisors is an integer number (1259776).

Almost surely, 248023780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48023780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60469248).

48023780 is an abundant number, since it is smaller than the sum of its proper divisors (72914716).

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

48023780 is a wasteful number, since it uses less digits than its factorization.

48023780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 48023780 is about 6929.9191914481. The cubic root of 48023780 is about 363.4841241134.

The spelling of 48023780 in words is "forty-eight million, twenty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 73 74 127 140 146 148 185 254 259 292 365 370 508 511 518 635 730 740 889 1022 1036 1270 1295 1460 1778 2044 2540 2555 2590 2701 3556 4445 4699 5110 5180 5402 8890 9271 9398 10220 10804 13505 17780 18542 18796 18907 23495 27010 32893 37084 37814 46355 46990 54020 64897 65786 75628 92710 93980 94535 129794 131572 164465 185420 189070 259588 324485 328930 343027 378140 648970 657860 686054 1297940 1372108 1715135 2401189 3430270 4802378 6860540 9604756 12005945 24011890 48023780