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48591440 = 2451735729
BaseRepresentation
bin1011100101011…
…1001001010000
310101102200220222
42321113021100
544414411230
64453252212
71130010002
oct271271120
9111380828
1048591440
1125479517
1214334068
13a0b4241
14664c372
1543ec6e5
hex2e57250

48591440 has 40 divisors (see below), whose sum is σ = 119624040. Its totient is φ = 18292736.

The previous prime is 48591427. The next prime is 48591449. The reversal of 48591440 is 4419584.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 47831056 = 872^2 + 6916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×485914402 = 4722256082547200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48591440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48591449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16505 + ... + 19224.

It is an arithmetic number, because the mean of its divisors is an integer number (2990601).

Almost surely, 248591440 is an apocalyptic number.

48591440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48591440 is an abundant number, since it is smaller than the sum of its proper divisors (71032600).

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

48591440 is a wasteful number, since it uses less digits than its factorization.

48591440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35759 (or 35753 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 48591440 is about 6970.7560565551. The cubic root of 48591440 is about 364.9106931064.

The spelling of 48591440 in words is "forty-eight million, five hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 35729 71458 142916 178645 285832 357290 571664 607393 714580 1214786 1429160 2429572 2858320 3036965 4859144 6073930 9718288 12147860 24295720 48591440