Search a number
-
+
2593750000 = 245983
BaseRepresentation
bin1001101010011001…
…0111101111110000
320200202121011002211
42122212113233300
520303000000000
61105213021504
7121163340232
oct23246275760
96622534084
102593750000
111111116846
12604784894
1332449521a
141a8696252
15102a987ba
hex9a997bf0

2593750000 has 100 divisors (see below), whose sum is σ = 6357421224. Its totient is φ = 1025000000.

The previous prime is 2593749989. The next prime is 2593750031. The reversal of 2593750000 is 573952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×25937500003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31249959 + ... + 31250041.

Almost surely, 22593750000 is an apocalyptic number.

2593750000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2593750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178710612).

2593750000 is an abundant number, since it is smaller than the sum of its proper divisors (3763671224).

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

2593750000 is an frugal number, since it uses more digits than its factorization.

2593750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 2593750000 is about 50928.8719686584. The cubic root of 2593750000 is about 1373.9661650238.

The spelling of 2593750000 in words is "two billion, five hundred ninety-three million, seven hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 625 664 830 1000 1250 1328 1660 2000 2075 2500 3125 3320 4150 5000 6250 6640 8300 10000 10375 12500 15625 16600 20750 25000 31250 33200 41500 50000 51875 62500 78125 83000 103750 125000 156250 166000 207500 250000 259375 312500 390625 415000 518750 625000 781250 830000 1037500 1250000 1296875 1562500 1953125 2075000 2593750 3125000 3906250 4150000 5187500 6250000 6484375 7812500 10375000 12968750 15625000 20750000 25937500 31250000 32421875 51875000 64843750 103750000 129687500 162109375 259375000 324218750 518750000 648437500 1296875000 2593750000