Search a number
-
+
48800493 = 3271959691
BaseRepresentation
bin1011101000101…
…0001011101101
310101211022200200
42322022023231
544443103433
64501544113
71131540330
oct272121355
9111738620
1048800493
1125601595
1214415039
13a158441
1466a4617
15443e613
hex2e8a2ed

48800493 has 48 divisors (see below), whose sum is σ = 86361600. Its totient is φ = 25932960.

The previous prime is 48800491. The next prime is 48800509. The reversal of 48800493 is 39400884.

It is not a de Polignac number, because 48800493 - 21 = 48800491 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48800491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70278 + ... + 70968.

It is an arithmetic number, because the mean of its divisors is an integer number (1799200).

Almost surely, 248800493 is an apocalyptic number.

It is an amenable number.

48800493 is a deficient number, since it is larger than the sum of its proper divisors (37561107).

48800493 is a wasteful number, since it uses less digits than its factorization.

48800493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48800493 is about 6985.7349649124. The cubic root of 48800493 is about 365.4332579559.

The spelling of 48800493 in words is "forty-eight million, eight hundred thousand, four hundred ninety-three".

Divisors: 1 3 7 9 19 21 57 59 63 133 171 177 399 413 531 691 1121 1197 1239 2073 3363 3717 4837 6219 7847 10089 13129 14511 23541 39387 40769 43533 70623 91903 118161 122307 275709 285383 366921 774611 827127 856149 2323833 2568447 5422277 6971499 16266831 48800493