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51250000 = 245741
BaseRepresentation
bin1100001110000…
…0001101010000
310120102202210011
43003200031100
5101110000000
65030244304
71161421624
oct303401520
9116382704
1051250000
1126a2497a
12151b6694
13a805359
146b41184
1547752ba
hex30e0350

51250000 has 80 divisors (see below), whose sum is σ = 127148112. Its totient is φ = 20000000.

The previous prime is 51249997. The next prime is 51250007. The reversal of 51250000 is 5215.

It can be written as a sum of positive squares in 8 ways, for example, as 25969216 + 25280784 = 5096^2 + 5028^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51250007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249980 + ... + 1250020.

Almost surely, 251250000 is an apocalyptic number.

51250000 is a gapful number since it is divisible by the number (50) 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 51250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63574056).

51250000 is an abundant number, since it is smaller than the sum of its proper divisors (75898112).

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

51250000 is an frugal number, since it uses more digits than its factorization.

51250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 51250000 is about 7158.9105316382. The cubic root of 51250000 is about 371.4479420723.

Adding to 51250000 its reverse (5215), we get a palindrome (51255215).

It can be divided in two parts, 5 and 1250000, that multiplied together give a 4-th power (6250000 = 504).

The spelling of 51250000 in words is "fifty-one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 625 656 820 1000 1025 1250 1640 2000 2050 2500 3125 3280 4100 5000 5125 6250 8200 10000 10250 12500 15625 16400 20500 25000 25625 31250 41000 50000 51250 62500 78125 82000 102500 125000 128125 156250 205000 250000 256250 312500 410000 512500 625000 640625 1025000 1250000 1281250 2050000 2562500 3203125 5125000 6406250 10250000 12812500 25625000 51250000