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95988144 = 2437299851
BaseRepresentation
bin1011011100010…
…10100110110000
320200121200222110
411232022212300
5144033110034
613305205320
72243612550
oct556124660
9220550873
1095988144
114a20134a
1228190840
1316b6a725
14ca69160
158660de9
hex5b8a9b0

95988144 has 80 divisors (see below), whose sum is σ = 293195520. Its totient is φ = 26476800.

The previous prime is 95988143. The next prime is 95988149. The reversal of 95988144 is 44188959.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 95988093 and 95988102.

It is not an unprimeable number, because it can be changed into a prime (95988143) by changing a digit.

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, 4819 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (3664944).

Almost surely, 295988144 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 95988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146597760).

95988144 is an abundant number, since it is smaller than the sum of its proper divisors (197207376).

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

95988144 is a wasteful number, since it uses less digits than its factorization.

95988144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 9892 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 95988144 is about 9797.3539284850. The cubic root of 95988144 is about 457.8668466174.

The spelling of 95988144 in words is "ninety-five million, nine hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4872 9744 9851 19702 29553 39404 59106 68957 78808 118212 137914 157616 206871 236424 275828 285679 413742 472848 551656 571358 827484 857037 1103312 1142716 1654968 1714074 1999753 2285432 3309936 3428148 3999506 4570864 5999259 6856296 7999012 11998518 13712592 15998024 23997036 31996048 47994072 95988144