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801250000 = 2457641
BaseRepresentation
bin101111110000100…
…001101011010000
32001211200201100221
4233300201223100
53120110000000
6211301322424
725566340555
oct5760415320
92054621327
10801250000
11381314a91
121a4406414
13c9cccb35
14785b2a2c
154a52261a
hex2fc21ad0

801250000 has 80 divisors (see below), whose sum is σ = 1943549712. Its totient is φ = 320000000.

The previous prime is 801249997. The next prime is 801250027. The reversal of 801250000 is 52108.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 747256896 + 53993104 = 27336^2 + 7348^2 .

It is a sliding number, since 801250000 = 1250000 + 800000000 and 1/1250000 + 1/800000000 = 0.000000801250000.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1249680 + ... + 1250320.

Almost surely, 2801250000 is an apocalyptic number.

801250000 is a gapful number since it is divisible by the number (80) 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 801250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971774856).

801250000 is an abundant number, since it is smaller than the sum of its proper divisors (1142299712).

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

801250000 is an frugal number, since it uses more digits than its factorization.

801250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 801250000 is about 28306.3597094363. The cubic root of 801250000 is about 928.8010139554.

It can be divided in two parts, 80 and 1250000, that multiplied together give a 8-th power (100000000 = 108).

The spelling of 801250000 in words is "eight hundred one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 641 1000 1250 1282 2000 2500 2564 3125 3205 5000 5128 6250 6410 10000 10256 12500 12820 15625 16025 25000 25640 31250 32050 50000 51280 62500 64100 78125 80125 125000 128200 156250 160250 250000 256400 312500 320500 400625 625000 641000 801250 1250000 1282000 1602500 2003125 3205000 4006250 6410000 8012500 10015625 16025000 20031250 32050000 40062500 50078125 80125000 100156250 160250000 200312500 400625000 801250000