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95053416 = 23329413331
BaseRepresentation
bin1011010101001…
…10011001101000
320121212012202220
411222212121220
5143313202131
613233154040
72232640443
oct552463150
9217765686
1095053416
1149723047
12279bb920
1316901133
14c8a465a
158528e96
hex5aa6668

95053416 has 64 divisors (see below), whose sum is σ = 251899200. Its totient is φ = 29836800.

The previous prime is 95053397. The next prime is 95053421. The reversal of 95053416 is 61435059.

It is a happy number.

It is an unprimeable number.

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, 26871 + ... + 30201.

It is an arithmetic number, because the mean of its divisors is an integer number (3935925).

Almost surely, 295053416 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 95053416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125949600).

95053416 is an abundant number, since it is smaller than the sum of its proper divisors (156845784).

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

95053416 is a wasteful number, since it uses less digits than its factorization.

95053416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 95053416 is about 9749.5341427168. The cubic root of 95053416 is about 456.3757675177.

It can be divided in two parts, 9505 and 3416, that added together give a palindrome (12921).

The spelling of 95053416 in words is "ninety-five million, fifty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 492 696 984 1189 2378 3331 3567 4756 6662 7134 9512 9993 13324 14268 19986 26648 28536 39972 79944 96599 136571 193198 273142 289797 386396 409713 546284 579594 772792 819426 1092568 1159188 1638852 2318376 3277704 3960559 7921118 11881677 15842236 23763354 31684472 47526708 95053416