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95995144 = 23719831087
BaseRepresentation
bin1011011100011…
…00010100001000
320200122001120201
411232030110020
5144033321034
613305301544
72243642140
oct556142410
9220561521
1095995144
114a206633
12281948b4
1316b7097b
14ca6b920
158663014
hex5b8c508

95995144 has 64 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 38470464.

The previous prime is 95995129. The next prime is 95995171. The reversal of 95995144 is 44159959.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 95995094 and 95995103.

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, 87769 + ... + 88855.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 295995144 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 95995144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

95995144 is an abundant number, since it is smaller than the sum of its proper divisors (123345656).

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

95995144 is a wasteful number, since it uses less digits than its factorization.

95995144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its digits is 291600, while the sum is 46.

The square root of 95995144 is about 9797.7111612866. The cubic root of 95995144 is about 457.8779764295.

The spelling of 95995144 in words is "ninety-five million, nine hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 83 133 152 166 266 332 532 581 664 1064 1087 1162 1577 2174 2324 3154 4348 4648 6308 7609 8696 11039 12616 15218 20653 22078 30436 41306 44156 60872 82612 88312 90221 144571 165224 180442 289142 360884 578284 631547 721768 1156568 1263094 1714199 2526188 3428398 5052376 6856796 11999393 13713592 23998786 47997572 95995144