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95052240 = 24325971361
BaseRepresentation
bin1011010101001…
…10000111010000
320121212011011100
411222212013100
5143313132430
613233144400
72232634143
oct552460720
9217764140
1095052240
1149722178
12279bb100
131690073a
14c8a405a
158528960
hex5aa61d0

95052240 has 120 divisors (see below), whose sum is σ = 322744968. Its totient is φ = 25067520.

The previous prime is 95052233. The next prime is 95052241. The reversal of 95052240 is 4225059.

It can be written as a sum of positive squares in 4 ways, for example, as 1272384 + 93779856 = 1128^2 + 9684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95052241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69160 + ... + 70520.

Almost surely, 295052240 is an apocalyptic number.

95052240 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 95052240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161372484).

95052240 is an abundant number, since it is smaller than the sum of its proper divisors (227692728).

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

95052240 is a wasteful number, since it uses less digits than its factorization.

95052240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 95052240 is about 9749.4738319563. The cubic root of 95052240 is about 456.3738854176.

Adding to 95052240 its reverse (4225059), we get a palindrome (99277299).

The spelling of 95052240 in words is "ninety-five million, fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1361 1455 1552 1746 1940 2328 2722 2910 3492 3880 4083 4365 4656 5444 5820 6805 6984 7760 8166 8730 10888 11640 12249 13610 13968 16332 17460 20415 21776 23280 24498 27220 32664 34920 40830 48996 54440 61245 65328 69840 81660 97992 108880 122490 132017 163320 195984 244980 264034 326640 396051 489960 528068 660085 792102 979920 1056136 1188153 1320170 1584204 1980255 2112272 2376306 2640340 3168408 3960510 4752612 5280680 5940765 6336816 7921020 9505224 10561360 11881530 15842040 19010448 23763060 31684080 47526120 95052240