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48723444 = 2236721131
BaseRepresentation
bin1011100111011…
…1010111110100
310101200102000000
42321313113310
544433122234
64500151300
71131066600
oct271672764
9111612000
1048723444
1125559710
1214398530
13a12c353
146684500
154426899
hex2e775f4

48723444 has 252 divisors, whose sum is σ = 167465088. Its totient is φ = 12247200.

The previous prime is 48723431. The next prime is 48723461. The reversal of 48723444 is 44432784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×487234442 = 4747947990442272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48723399 and 48723408.

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 1571709 + ... + 1571739.

It is an arithmetic number, because the mean of its divisors is an integer number (664544).

Almost surely, 248723444 is an apocalyptic number.

48723444 is a gapful number since it is divisible by the number (44) 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 48723444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83732544).

48723444 is an abundant number, since it is smaller than the sum of its proper divisors (118741644).

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

48723444 is a wasteful number, since it uses less digits than its factorization.

48723444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 48723444 is about 6980.2180481701. The cubic root of 48723444 is about 365.2408343647.

The spelling of 48723444 in words is "forty-eight million, seven hundred twenty-three thousand, four hundred forty-four".