Search a number
-
+
95482016 = 2572343431
BaseRepresentation
bin1011011000011…
…11000010100000
320122122222200222
411230033002200
5143420411031
613250302212
72236404140
oct554170240
9218588628
1095482016
1149996063
1227b87968
1316a21246
14c976920
1585b0e7b
hex5b0f0a0

95482016 has 96 divisors (see below), whose sum is σ = 229920768. Its totient is φ = 38142720.

The previous prime is 95482003. The next prime is 95482027. The reversal of 95482016 is 61028459.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221321 + ... + 221751.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008).

Almost surely, 295482016 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 95482016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114960384).

95482016 is an abundant number, since it is smaller than the sum of its proper divisors (134438752).

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

95482016 is a wasteful number, since it uses less digits than its factorization.

95482016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 95482016 is about 9771.4899580361. The cubic root of 95482016 is about 457.0606785316.

The spelling of 95482016 in words is "ninety-five million, four hundred eighty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 86 92 112 161 172 184 224 301 322 344 368 431 602 644 688 736 862 989 1204 1288 1376 1724 1978 2408 2576 3017 3448 3956 4816 5152 6034 6896 6923 7912 9632 9913 12068 13792 13846 15824 18533 19826 24136 27692 31648 37066 39652 48272 55384 69391 74132 79304 96544 110768 129731 138782 148264 158608 221536 259462 277564 296528 317216 426259 518924 555128 593056 852518 1037848 1110256 1705036 2075696 2220512 2983813 3410072 4151392 5967626 6820144 11935252 13640288 23870504 47741008 95482016