Search a number
-
+
640859408 = 24773103761
BaseRepresentation
bin100110001100101…
…011110100010000
31122122220000211122
4212030223310100
52303030000113
6143331501412
721611133530
oct4614536420
91578800748
10640859408
112a9826182
1215a757868
13a2a03667
14611814c0
153b3de408
hex2632bd10

640859408 has 80 divisors (see below), whose sum is σ = 1454359296. Its totient is φ = 267909120.

The previous prime is 640859383. The next prime is 640859449. The reversal of 640859408 is 804958046.

It is a happy number.

It is a super-2 number, since 2×6408594082 = 821401561644220928, which contains 22 as substring.

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, 841748 + ... + 842508.

Almost surely, 2640859408 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 640859408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727179648).

640859408 is an abundant number, since it is smaller than the sum of its proper divisors (813499888).

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

640859408 is a wasteful number, since it uses less digits than its factorization.

640859408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 640859408 is about 25315.2011250158. The cubic root of 640859408 is about 862.1594406506.

The spelling of 640859408 in words is "six hundred forty million, eight hundred fifty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 73 103 112 146 206 292 412 511 584 721 761 824 1022 1168 1442 1522 1648 2044 2884 3044 4088 5327 5768 6088 7519 8176 10654 11536 12176 15038 21308 30076 42616 52633 55553 60152 78383 85232 105266 111106 120304 156766 210532 222212 313532 388871 421064 444424 548681 627064 777742 842128 888848 1097362 1254128 1555484 2194724 3110968 4389448 5721959 6221936 8778896 11443918 22887836 40053713 45775672 80107426 91551344 160214852 320429704 640859408