Search a number
-
+
552435380 = 225771149373
BaseRepresentation
bin100000111011010…
…111111010110100
31102111111121212122
4200323113322310
52112410413010
6130452335112
716455423530
oct4073277264
91374447778
10552435380
11263920972
12135014498
138a5b3b53
1453524bc0
1533774855
hex20ed7eb4

552435380 has 96 divisors (see below), whose sum is σ = 1357171200. Its totient is φ = 184988160.

The previous prime is 552435361. The next prime is 552435409. The reversal of 552435380 is 83534255.

552435380 = T1 + T2 + ... + T1490.

552435380 is a nontrivial binomial coefficient, being equal to C(1492, 3).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 552435380.

It is a congruent number.

It is an unprimeable number.

It is the 1490-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1480874 + ... + 1481246.

It is an arithmetic number, because the mean of its divisors is an integer number (14137200).

Almost surely, 2552435380 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 552435380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678585600).

552435380 is an abundant number, since it is smaller than the sum of its proper divisors (804735820).

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

552435380 is a wasteful number, since it uses less digits than its factorization.

552435380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 552435380 is about 23503.9439243715. The cubic root of 552435380 is about 820.5287983185.

It can be divided in two parts, 5524 and 35380, that added together give a palindrome (40904).

The spelling of 552435380 in words is "five hundred fifty-two million, four hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 149 284 298 355 373 497 596 710 745 746 994 1043 1420 1490 1492 1865 1988 2086 2485 2611 2980 3730 4172 4970 5215 5222 7460 9940 10430 10444 10579 13055 20860 21158 26110 26483 42316 52220 52895 52966 55577 74053 105790 105932 111154 132415 148106 185381 211580 222308 264830 277885 296212 370265 370762 389039 529660 555770 740530 741524 778078 926905 1111540 1481060 1556156 1853810 1945195 3707620 3890390 3945967 7780780 7891934 15783868 19729835 27621769 39459670 55243538 78919340 110487076 138108845 276217690 552435380