Search a number
-
+
552774960 = 243252712833
BaseRepresentation
bin100000111100101…
…010110100110000
31102112010212200200
4200330222310300
52113002244320
6130503515200
716461336543
oct4074526460
91375125620
10552774960
11264033011
12135158b00
138a6a259a
14535b285a
15337e0290
hex20f2ad30

552774960 has 120 divisors (see below), whose sum is σ = 1863910464. Its totient is φ = 146810880.

The previous prime is 552774899. The next prime is 552774979. The reversal of 552774960 is 69477255.

552774960 is a `hidden beast` number, since 552 + 7 + 7 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193704 + ... + 196536.

Almost surely, 2552774960 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 552774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931955232).

552774960 is an abundant number, since it is smaller than the sum of its proper divisors (1311135504).

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

552774960 is a wasteful number, since it uses less digits than its factorization.

552774960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 552774960 is about 23511.1667086089. The cubic root of 552774960 is about 820.6968892283.

The spelling of 552774960 in words is "five hundred fifty-two million, seven hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 271 360 542 720 813 1084 1355 1626 2168 2439 2710 2833 3252 4065 4336 4878 5420 5666 6504 8130 8499 9756 10840 11332 12195 13008 14165 16260 16998 19512 21680 22664 24390 25497 28330 32520 33996 39024 42495 45328 48780 50994 56660 65040 67992 84990 97560 101988 113320 127485 135984 169980 195120 203976 226640 254970 339960 407952 509940 679920 767743 1019880 1535486 2039760 2303229 3070972 3838715 4606458 6141944 6909687 7677430 9212916 11516145 12283888 13819374 15354860 18425832 23032290 27638748 30709720 34548435 36851664 46064580 55277496 61419440 69096870 92129160 110554992 138193740 184258320 276387480 552774960