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48565440 = 2633571173
BaseRepresentation
bin1011100101000…
…0110011000000
310101101101021000
42321100303000
544413043230
64452532000
71126541130
oct271206300
9111341230
1048565440
1125460a30
1214321000
13a0a5461
146642ac0
1543e4b60
hex2e50cc0

48565440 has 448 divisors, whose sum is σ = 216529920. Its totient is φ = 9953280.

The previous prime is 48565421. The next prime is 48565441. The reversal of 48565440 is 4456584.

48565440 is a nontrivial binomial coefficient, being equal to C(9856, 2).

It is a tau number, because it is divible by the number of its divisors (448).

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 = 48565395 and 48565404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48565441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665244 + ... + 665316.

Almost surely, 248565440 is an apocalyptic number.

48565440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48565440 is the 9855-th triangular number and also the 4928-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108264960).

48565440 is an abundant number, since it is smaller than the sum of its proper divisors (167964480).

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

48565440 is a wasteful number, since it uses less digits than its factorization.

48565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 48565440 is about 6968.8908730156. The cubic root of 48565440 is about 364.8455967936.

It can be divided in two parts, 4856 and 5440, that added together give a triangular number (10296 = T143).

The spelling of 48565440 in words is "forty-eight million, five hundred sixty-five thousand, four hundred forty".