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95053300 = 22522973449
BaseRepresentation
bin1011010101001…
…10010111110100
320121212012121121
411222212113310
5143313201200
613233153324
72232640216
oct552462764
9217765547
1095053300
1149722a51
12279bb844
1316901074
14c8a45b6
158528e1a
hex5aa65f4

95053300 has 72 divisors (see below), whose sum is σ = 216783000. Its totient is φ = 36126720.

The previous prime is 95053297. The next prime is 95053331. The reversal of 95053300 is 335059.

It can be written as a sum of positive squares in 12 ways, for example, as 16695396 + 78357904 = 4086^2 + 8852^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211476 + ... + 211924.

It is an arithmetic number, because the mean of its divisors is an integer number (3010875).

Almost surely, 295053300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108391500).

95053300 is an abundant number, since it is smaller than the sum of its proper divisors (121729700).

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

95053300 is a wasteful number, since it uses less digits than its factorization.

95053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 25.

The square root of 95053300 is about 9749.5281937128. The cubic root of 95053300 is about 456.3755818690.

Adding to 95053300 its reverse (335059), we get a palindrome (95388359).

The spelling of 95053300 in words is "ninety-five million, fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 73 100 116 145 146 290 292 365 449 580 725 730 898 1450 1460 1796 1825 2117 2245 2900 3650 4234 4490 7300 8468 8980 10585 11225 13021 21170 22450 26042 32777 42340 44900 52084 52925 65105 65554 105850 130210 131108 163885 211700 260420 325525 327770 651050 655540 819425 950533 1302100 1638850 1901066 3277700 3802132 4752665 9505330 19010660 23763325 47526650 95053300