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95451940 = 22517535297
BaseRepresentation
bin1011011000001…
…11101100100100
320122121110110001
411230013230210
5143413430230
613245511044
72236220353
oct554075444
9218543401
1095451940
1149975501
1227b72484
1316a1064c
14c96999a
1585a70ca
hex5b07b24

95451940 has 48 divisors (see below), whose sum is σ = 216285552. Its totient is φ = 35250176.

The previous prime is 95451913. The next prime is 95451943. The reversal of 95451940 is 4915459.

It can be written as a sum of positive squares in 8 ways, for example, as 11985444 + 83466496 = 3462^2 + 9136^2 .

It is a super-2 number, since 2×954519402 = 18222145699527200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 95451940.

It is not an unprimeable number, because it can be changed into a prime (95451943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15372 + ... + 20668.

It is an arithmetic number, because the mean of its divisors is an integer number (4505949).

Almost surely, 295451940 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 95451940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108142776).

95451940 is an abundant number, since it is smaller than the sum of its proper divisors (120833612).

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

95451940 is a wasteful number, since it uses less digits than its factorization.

95451940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376 (or 5374 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 95451940 is about 9769.9508698867. The cubic root of 95451940 is about 457.0126834530.

The spelling of 95451940 in words is "ninety-five million, four hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 5297 9010 10594 18020 21188 26485 52970 90049 105940 180098 280741 360196 450245 561482 900490 1122964 1403705 1800980 2807410 4772597 5614820 9545194 19090388 23862985 47725970 95451940