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95047840 = 2554114489
BaseRepresentation
bin1011010101001…
…01000010100000
320121211221010101
411222211002200
5143313012330
613233112144
72232615256
oct552450240
9217757111
1095047840
1149719938
12279b8654
13168cb734
14c8a25d6
1585274ca
hex5aa50a0

95047840 has 48 divisors (see below), whose sum is σ = 230043240. Its totient is φ = 37089280.

The previous prime is 95047807. The next prime is 95047847. The reversal of 95047840 is 4874059.

It can be written as a sum of positive squares in 4 ways, for example, as 32764176 + 62283664 = 5724^2 + 7892^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 95047840.

It is not an unprimeable number, because it can be changed into a prime (95047847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685 + ... + 13804.

Almost surely, 295047840 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 95047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115021620).

95047840 is an abundant number, since it is smaller than the sum of its proper divisors (134995400).

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

95047840 is a wasteful number, since it uses less digits than its factorization.

95047840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14545 (or 14537 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 95047840 is about 9749.2481761416. The cubic root of 95047840 is about 456.3668434090.

The spelling of 95047840 in words is "ninety-five million, forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 14489 28978 57956 72445 115912 144890 231824 289780 463648 579560 594049 1159120 1188098 2318240 2376196 2970245 4752392 5940490 9504784 11880980 19009568 23761960 47523920 95047840