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95040378 = 234412349
BaseRepresentation
bin1011010101000…
…11001101111010
320121211112220000
411222203031322
5143312243003
613233013430
72232554436
oct552431572
9217745800
1095040378
1149714274
12279b4276
13168c8214
14c89d9c6
1585251a3
hex5aa337a

95040378 has 60 divisors (see below), whose sum is σ = 218907150. Its totient is φ = 30818880.

The previous prime is 95040377. The next prime is 95040391. The reversal of 95040378 is 87304059.

It can be written as a sum of positive squares in 3 ways, for example, as 42810849 + 52229529 = 6543^2 + 7227^2 .

It is not an unprimeable number, because it can be changed into a prime (95040377) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 272148 + ... + 272496.

Almost surely, 295040378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95040378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453575).

95040378 is an abundant number, since it is smaller than the sum of its proper divisors (123866772).

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

95040378 is a wasteful number, since it uses less digits than its factorization.

95040378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 95040378 is about 9748.8654724537. The cubic root of 95040378 is about 456.3549003057.

It can be divided in two parts, 950 and 40378, that added together give a triangular number (41328 = T287).

The spelling of 95040378 in words is "ninety-five million, forty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 349 369 698 738 1047 1107 1681 2094 2214 3141 3321 3362 5043 6282 6642 9423 10086 14309 15129 18846 28269 28618 30258 42927 45387 56538 85854 90774 128781 136161 257562 272322 386343 586669 772686 1159029 1173338 1760007 2318058 3520014 5280021 10560042 15840063 31680126 47520189 95040378