Search a number
-
+
48658312764 = 22331726502349
BaseRepresentation
bin101101010100010000…
…101110111000111100
311122121002012101202000
4231110100232320330
51244123012002024
634204152302300
73341540556105
oct552420567074
9148532171660
1048658312764
11196aa392626
12951b6a1990
134785aca259
1424d847b3ac
1513ebbbccc9
hexb5442ee3c

48658312764 has 48 divisors (see below), whose sum is σ = 133571844000. Its totient is φ = 15265352448.

The previous prime is 48658312757. The next prime is 48658312771. The reversal of 48658312764 is 46721385684.

It is a happy number.

48658312764 is a `hidden beast` number, since 48 + 6 + 583 + 12 + 7 + 6 + 4 = 666.

48658312764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48658312757) and next prime (48658312771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48658312764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13249339 + ... + 13253010.

It is an arithmetic number, because the mean of its divisors is an integer number (2782746750).

Almost surely, 248658312764 is an apocalyptic number.

It is an amenable number.

48658312764 is an abundant number, since it is smaller than the sum of its proper divisors (84913531236).

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

48658312764 is a wasteful number, since it uses less digits than its factorization.

48658312764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502379 (or 26502371 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 48658312764 in words is "forty-eight billion, six hundred fifty-eight million, three hundred twelve thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 26502349 53004698 79507047 106009396 159014094 238521141 318028188 450539933 477042282 715563423 901079866 954084564 1351619799 1431126846 1802159732 2703239598 2862253692 4054859397 5406479196 8109718794 12164578191 16219437588 24329156382 48658312764