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554352040 = 235117271733
BaseRepresentation
bin100001000010101…
…011110110101000
31102122010000001001
4201002223312220
52113403231130
6131001404344
716510625464
oct4102536650
91378100031
10554352040
11264a0a990
121357996b4
138ab05378
14538a34a4
1533a026ca
hex210abda8

554352040 has 64 divisors (see below), whose sum is σ = 1363340160. Its totient is φ = 201189120.

The previous prime is 554352017. The next prime is 554352047. The reversal of 554352040 is 40253455.

It is not an unprimeable number, because it can be changed into a prime (554352047) by changing a digit.

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, 319014 + ... + 320746.

It is an arithmetic number, because the mean of its divisors is an integer number (21302190).

Almost surely, 2554352040 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 554352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681670080).

554352040 is an abundant number, since it is smaller than the sum of its proper divisors (808988120).

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

554352040 is a wasteful number, since it uses less digits than its factorization.

554352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 554352040 is about 23544.6817774206. The cubic root of 554352040 is about 821.4766373458.

It can be divided in two parts, 55435 and 2040, that added together give a palindrome (57475).

The spelling of 554352040 in words is "five hundred fifty-four million, three hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 727 1454 1733 2908 3466 3635 5816 6932 7270 7997 8665 13864 14540 15994 17330 19063 29080 31988 34660 38126 39985 63976 69320 76252 79970 95315 152504 159940 190630 319880 381260 762520 1259891 2519782 5039564 6299455 10079128 12598910 13858801 25197820 27717602 50395640 55435204 69294005 110870408 138588010 277176020 554352040