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49125000 = 23356131
BaseRepresentation
bin1011101101100…
…1011010001000
310102102210211110
42323121122020
5100034000000
64512530320
71134361401
oct273313210
9112383743
1049125000
1125803381
12145509a0
13a240062
14674a9a8
1544a5850
hex2ed9688

49125000 has 112 divisors (see below), whose sum is σ = 154685520. Its totient is φ = 13000000.

The previous prime is 49124989. The next prime is 49125017. The reversal of 49125000 is 52194.

49125000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 27 ways as a sum of consecutive naturals, for example, 374935 + ... + 375065.

Almost surely, 249125000 is an apocalyptic number.

49125000 is a gapful number since it is divisible by the number (40) 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 49125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77342760).

49125000 is an abundant number, since it is smaller than the sum of its proper divisors (105560520).

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

49125000 is an equidigital number, since it uses as much as digits as its factorization.

49125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 49125000 is about 7008.9228844381. The cubic root of 49125000 is about 366.2414722317.

Adding to 49125000 its reverse (52194), we get a palindrome (49177194).

The spelling of 49125000 in words is "forty-nine million, one hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 131 150 200 250 262 300 375 393 500 524 600 625 655 750 786 1000 1048 1250 1310 1500 1572 1875 1965 2500 2620 3000 3125 3144 3275 3750 3930 5000 5240 6250 6550 7500 7860 9375 9825 12500 13100 15000 15625 15720 16375 18750 19650 25000 26200 31250 32750 37500 39300 46875 49125 62500 65500 75000 78600 81875 93750 98250 125000 131000 163750 187500 196500 245625 327500 375000 393000 409375 491250 655000 818750 982500 1228125 1637500 1965000 2046875 2456250 3275000 4093750 4912500 6140625 8187500 9825000 12281250 16375000 24562500 49125000