Search a number
-
+
549913968 = 24334992551
BaseRepresentation
bin100000110001110…
…000010101110000
31102022202112011000
4200301300111300
52111234221333
6130322322000
716425122502
oct4061602560
91368675130
10549913968
1126245955a
121341b9300
1389c102a6
1453069d72
1533427713
hex20c70570

549913968 has 80 divisors (see below), whose sum is σ = 1582240000. Its totient is φ = 182865600.

The previous prime is 549913939. The next prime is 549913999. The reversal of 549913968 is 869319945.

549913968 is a `hidden beast` number, since 549 + 9 + 1 + 3 + 96 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214293 + ... + 216843.

It is an arithmetic number, because the mean of its divisors is an integer number (19778000).

Almost surely, 2549913968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 549913968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791120000).

549913968 is an abundant number, since it is smaller than the sum of its proper divisors (1032326032).

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

549913968 is a wasteful number, since it uses less digits than its factorization.

549913968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3055 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 549913968 is about 23450.2445189810. The cubic root of 549913968 is about 819.2785484654.

The spelling of 549913968 in words is "five hundred forty-nine million, nine hundred thirteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 499 998 1497 1996 2551 2994 3992 4491 5102 5988 7653 7984 8982 10204 11976 13473 15306 17964 20408 22959 23952 26946 30612 35928 40816 45918 53892 61224 68877 71856 91836 107784 122448 137754 183672 215568 275508 367344 551016 1102032 1272949 2545898 3818847 5091796 7637694 10183592 11456541 15275388 20367184 22913082 30550776 34369623 45826164 61101552 68739246 91652328 137478492 183304656 274956984 549913968