Search a number
-
+
663486552 = 23343133029
BaseRepresentation
bin100111100011000…
…000000001011000
31201020110121110000
4213203000001120
52324323032202
6145500453000
722304354061
oct4743000130
91636417400
10663486552
113105802a3
1216624a160
13a75c67c1
1464191568
153d3ad91c
hex278c0058

663486552 has 80 divisors (see below), whose sum is σ = 1918382400. Its totient is φ = 214021440.

The previous prime is 663486547. The next prime is 663486613. The reversal of 663486552 is 255684366.

663486552 is a `hidden beast` number, since 6 + 634 + 8 + 6 + 5 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 663486498 and 663486507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3574 + ... + 36602.

It is an arithmetic number, because the mean of its divisors is an integer number (23979780).

Almost surely, 2663486552 is an apocalyptic number.

663486552 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663486552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959191200).

663486552 is an abundant number, since it is smaller than the sum of its proper divisors (1254895848).

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

663486552 is a wasteful number, since it uses less digits than its factorization.

663486552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33078 (or 33065 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 663486552 is about 25758.2327033514. The cubic root of 663486552 is about 872.1892071822.

It can be divided in two parts, 66348 and 6552, that added together give a square (72900 = 2702).

The spelling of 663486552 in words is "six hundred sixty-three million, four hundred eighty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 33029 66058 99087 132116 198174 264232 297261 396348 594522 792696 891783 1023899 1189044 1783566 2047798 2378088 2675349 3071697 3567132 4095596 5350698 6143394 7134264 8191192 9215091 10701396 12286788 18430182 21402792 24573576 27645273 36860364 55290546 73720728 82935819 110581092 165871638 221162184 331743276 663486552