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48723940 = 2253189883
BaseRepresentation
bin1011100111011…
…1011111100100
310101200102200101
42321313133210
544433131230
64500153444
71131101206
oct271673744
9111612611
1048723940
112555a021
1214398884
13a12c645
146684776
154426aca
hex2e777e4

48723940 has 48 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 18627840.

The previous prime is 48723929. The next prime is 48723943. The reversal of 48723940 is 4932784.

48723940 = T335 + T336 + ... + T690.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 48723940.

It is not an unprimeable number, because it can be changed into a prime (48723943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54739 + ... + 55621.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 248723940 is an apocalyptic number.

48723940 is the 4415-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48723940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

48723940 is an abundant number, since it is smaller than the sum of its proper divisors (58204700).

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

48723940 is a wasteful number, since it uses less digits than its factorization.

48723940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 48723940 is about 6980.2535770558. The cubic root of 48723940 is about 365.2420737328.

The spelling of 48723940 in words is "forty-eight million, seven hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 310 356 445 620 883 890 1766 1780 2759 3532 4415 5518 8830 11036 13795 17660 27373 27590 54746 55180 78587 109492 136865 157174 273730 314348 392935 547460 785870 1571740 2436197 4872394 9744788 12180985 24361970 48723940