Search a number
-
+
554934968 = 237312931091
BaseRepresentation
bin100001000100111…
…010001010111000
31102200012121122222
4201010322022320
52114030404333
6131022103212
716515604130
oct4104721270
91380177588
10554934968
11265278945
12135a1ab08
138ac7a7b3
14539b5ac0
1533aba298
hex2113a2b8

554934968 has 64 divisors (see below), whose sum is σ = 1232824320. Its totient is φ = 229161600.

The previous prime is 554934931. The next prime is 554934979. The reversal of 554934968 is 869439455.

It is a super-2 number, since 2×5549349682 = 615905637418322048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508103 + ... + 509193.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2554934968 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 554934968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616412160).

554934968 is an abundant number, since it is smaller than the sum of its proper divisors (677889352).

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

554934968 is a wasteful number, since it uses less digits than its factorization.

554934968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 53.

The square root of 554934968 is about 23557.0577110131. The cubic root of 554934968 is about 821.7644772910.

The spelling of 554934968 in words is "five hundred fifty-four million, nine hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 293 434 586 868 1091 1172 1736 2051 2182 2344 4102 4364 7637 8204 8728 9083 15274 16408 18166 30548 33821 36332 61096 63581 67642 72664 127162 135284 236747 254324 270568 319663 473494 508648 639326 946988 1278652 1893976 2237641 2557304 4475282 8950564 9909553 17901128 19819106 39638212 69366871 79276424 138733742 277467484 554934968