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95042976 = 2537294877
BaseRepresentation
bin1011010101000…
…11110110100000
320121211200110020
411222203312200
5143312333401
613233033440
72232565140
oct552436640
9217750406
1095042976
1149716216
12279b5880
13168c9462
14c8a0920
158525d36
hex5aa3da0

95042976 has 96 divisors (see below), whose sum is σ = 295021440. Its totient is φ = 26213376.

The previous prime is 95042963. The next prime is 95043019. The reversal of 95042976 is 67924059.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 17050 + ... + 21926.

It is an arithmetic number, because the mean of its divisors is an integer number (3073140).

Almost surely, 295042976 is an apocalyptic number.

95042976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95042976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147510720).

95042976 is an abundant number, since it is smaller than the sum of its proper divisors (199978464).

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

95042976 is a wasteful number, since it uses less digits than its factorization.

95042976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 95042976 is about 9748.9987178171. The cubic root of 95042976 is about 456.3590585356.

The spelling of 95042976 in words is "ninety-five million, forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 4877 6496 9744 9754 14631 19488 19508 29262 34139 39016 58524 68278 78032 102417 117048 136556 141433 156064 204834 234096 273112 282866 409668 424299 468192 546224 565732 819336 848598 990031 1092448 1131464 1638672 1697196 1980062 2262928 2970093 3277344 3394392 3960124 4525856 5940186 6788784 7920248 11880372 13577568 15840496 23760744 31680992 47521488 95042976