Search a number
-
+
628843040 = 25571274421
BaseRepresentation
bin100101011110110…
…110001000100000
31121211021112110222
4211132312020200
52241440434130
6142222142212
721404035430
oct4536661040
91554245428
10628843040
112a2a690a1
12156721968
13a0387097
145d7342c0
153a318ce5
hex257b6220

628843040 has 96 divisors (see below), whose sum is σ = 1711632384. Its totient is φ = 213857280.

The previous prime is 628843037. The next prime is 628843067. The reversal of 628843040 is 40348826.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 140030 + ... + 144450.

It is an arithmetic number, because the mean of its divisors is an integer number (17829504).

Almost surely, 2628843040 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 628843040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855816192).

628843040 is an abundant number, since it is smaller than the sum of its proper divisors (1082789344).

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

628843040 is a wasteful number, since it uses less digits than its factorization.

628843040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 628843040 is about 25076.7430102077. The cubic root of 628843040 is about 856.7367953881.

The spelling of 628843040 in words is "six hundred twenty-eight million, eight hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 127 140 160 224 254 280 508 560 635 889 1016 1120 1270 1778 2032 2540 3556 4064 4421 4445 5080 7112 8842 8890 10160 14224 17684 17780 20320 22105 28448 30947 35368 35560 44210 61894 70736 71120 88420 123788 141472 142240 154735 176840 247576 309470 353680 495152 561467 618940 707360 990304 1122934 1237880 2245868 2475760 2807335 3930269 4491736 4951520 5614670 7860538 8983472 11229340 15721076 17966944 19651345 22458680 31442152 39302690 44917360 62884304 78605380 89834720 125768608 157210760 314421520 628843040