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95490000 = 2432541061
BaseRepresentation
bin1011011000100…
…00111111010000
320122200101122200
411230100333100
5143421140000
613250403200
72236436334
oct554207720
9218611580
1095490000
11499a1061
1227b90500
1316a24a78
14c9797c4
1585b3500
hex5b10fd0

95490000 has 150 divisors (see below), whose sum is σ = 334257066. Its totient is φ = 25440000.

The previous prime is 95489993. The next prime is 95490049. The reversal of 95490000 is 9459.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 30074256 + 65415744 = 5484^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 89470 + ... + 90530.

Almost surely, 295490000 is an apocalyptic number.

95490000 is a gapful number since it is divisible by the number (90) 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 95490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167128533).

95490000 is an abundant number, since it is smaller than the sum of its proper divisors (238767066).

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

95490000 is a wasteful number, since it uses less digits than its factorization.

95490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 95490000 is about 9771.8984849414. The cubic root of 95490000 is about 457.0734176522.

Adding to 95490000 its reverse (9459), we get a palindrome (95499459).

The spelling of 95490000 in words is "ninety-five million, four hundred ninety thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1061 1125 1200 1250 1500 1800 1875 2000 2122 2250 2500 3000 3183 3600 3750 4244 4500 5000 5305 5625 6000 6366 7500 8488 9000 9549 10000 10610 11250 12732 15000 15915 16976 18000 19098 21220 22500 25464 26525 30000 31830 38196 42440 45000 47745 50928 53050 63660 76392 79575 84880 90000 95490 106100 127320 132625 152784 159150 190980 212200 238725 254640 265250 318300 381960 397875 424400 477450 530500 636600 663125 763920 795750 954900 1061000 1193625 1273200 1326250 1591500 1909800 1989375 2122000 2387250 2652500 3183000 3819600 3978750 4774500 5305000 5968125 6366000 7957500 9549000 10610000 11936250 15915000 19098000 23872500 31830000 47745000 95490000