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642500000 = 2557257
BaseRepresentation
bin100110010010111…
…100010110100000
31122202222101022022
4212102330112200
52303440000000
6143431001012
721631105562
oct4622742640
91582871268
10642500000
112aa74683a
1215b209168
13a315931c
146148b332
153b615585
hex264bc5a0

642500000 has 96 divisors (see below), whose sum is σ = 1587300624. Its totient is φ = 256000000.

The previous prime is 642499999. The next prime is 642500003. The reversal of 642500000 is 5246.

It can be written as a sum of positive squares in 8 ways, for example, as 426174736 + 216325264 = 20644^2 + 14708^2 .

It is not an unprimeable number, because it can be changed into a prime (642500003) 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, 2499872 + ... + 2500128.

Almost surely, 2642500000 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 642500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793650312).

642500000 is an abundant number, since it is smaller than the sum of its proper divisors (944800624).

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

642500000 is an frugal number, since it uses more digits than its factorization.

642500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 642500000 is about 25347.5837112732. The cubic root of 642500000 is about 862.8945195068.

Adding to 642500000 its reverse (5246), we get a palindrome (642505246).

The spelling of 642500000 in words is "six hundred forty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 257 400 500 514 625 800 1000 1028 1250 1285 2000 2056 2500 2570 3125 4000 4112 5000 5140 6250 6425 8224 10000 10280 12500 12850 15625 20000 20560 25000 25700 31250 32125 41120 50000 51400 62500 64250 78125 100000 102800 125000 128500 156250 160625 205600 250000 257000 312500 321250 500000 514000 625000 642500 803125 1028000 1250000 1285000 1606250 2500000 2570000 3212500 4015625 5140000 6425000 8031250 12850000 16062500 20078125 25700000 32125000 40156250 64250000 80312500 128500000 160625000 321250000 642500000