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95048576 = 277432467
BaseRepresentation
bin1011010101001…
…01001110000000
320121211222010122
411222211032000
5143313023301
613233115412
72232620360
oct552451600
9217758118
1095048576
114971a447
12279b8b68
13168cbb7c
14c8a29a0
15852781b
hex5aa5380

95048576 has 64 divisors (see below), whose sum is σ = 221527680. Its totient is φ = 39771648.

The previous prime is 95048567. The next prime is 95048593. The reversal of 95048576 is 67584059.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 37295 + ... + 39761.

It is an arithmetic number, because the mean of its divisors is an integer number (3461370).

Almost surely, 295048576 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 95048576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110763840).

95048576 is an abundant number, since it is smaller than the sum of its proper divisors (126479104).

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

95048576 is a wasteful number, since it uses less digits than its factorization.

95048576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 95048576 is about 9749.2859225689. The cubic root of 95048576 is about 456.3680213601.

The spelling of 95048576 in words is "ninety-five million, forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2467 2752 4816 4934 5504 9632 9868 17269 19264 19736 34538 38528 39472 69076 78944 106081 138152 157888 212162 276304 315776 424324 552608 742567 848648 1105216 1485134 1697296 2210432 2970268 3394592 5940536 6789184 11881072 13578368 23762144 47524288 95048576