Search a number
-
+
390266552 = 231317713109
BaseRepresentation
bin10111010000101…
…111111010111000
31000012100121001202
4113100233322320
51244402012202
6102420433332
712446132234
oct2720577270
91005317052
10390266552
11190328045
12aa848848
1362b14170
1439b8d5c4
15243de802
hex1742feb8

390266552 has 64 divisors (see below), whose sum is σ = 846417600. Its totient is φ = 167086080.

The previous prime is 390266551. The next prime is 390266561. The reversal of 390266552 is 255662093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390266551) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 123974 + ... + 127082.

It is an arithmetic number, because the mean of its divisors is an integer number (13225275).

Almost surely, 2390266552 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 390266552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423208800).

390266552 is an abundant number, since it is smaller than the sum of its proper divisors (456151048).

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

390266552 is a wasteful number, since it uses less digits than its factorization.

390266552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 390266552 is about 19755.1651979932. The cubic root of 390266552 is about 730.7807696861.

The spelling of 390266552 in words is "three hundred ninety million, two hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 71 104 136 142 221 284 442 568 884 923 1207 1768 1846 2414 3109 3692 4828 6218 7384 9656 12436 15691 24872 31382 40417 52853 62764 80834 105706 125528 161668 211412 220739 323336 422824 441478 687089 882956 1374178 1765912 2748356 2869607 3752563 5496712 5739214 7505126 11478428 15010252 22956856 30020504 48783319 97566638 195133276 390266552