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95318496 = 25327133637
BaseRepresentation
bin1011010111001…
…11000111100000
320122100200101200
411223213013200
5143400142441
613243001200
72235123330
oct553470740
9218320350
1095318496
1149894219
1227b09200
13169949a0
14c9330c0
15857c7b6
hex5ae71e0

95318496 has 144 divisors (see below), whose sum is σ = 333706464. Its totient is φ = 25132032.

The previous prime is 95318441. The next prime is 95318501. The reversal of 95318496 is 69481359.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24390 + ... + 28026.

It is an arithmetic number, because the mean of its divisors is an integer number (2317406).

Almost surely, 295318496 is an apocalyptic number.

95318496 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 95318496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166853232).

95318496 is an abundant number, since it is smaller than the sum of its proper divisors (238387968).

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

95318496 is a wasteful number, since it uses less digits than its factorization.

95318496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3662 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 95318496 is about 9763.1191737067. The cubic root of 95318496 is about 456.7996127273.

The spelling of 95318496 in words is "ninety-five million, three hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3637 3744 4368 6552 7274 8736 10911 13104 14548 21822 25459 26208 29096 32733 43644 47281 50918 58192 65466 76377 87288 94562 101836 116384 130932 141843 152754 174576 189124 203672 229131 261864 283686 305508 330967 349152 378248 407344 425529 458262 523728 567372 611016 661934 756496 814688 851058 916524 992901 1047456 1134744 1222032 1323868 1512992 1702116 1833048 1985802 2269488 2444064 2647736 2978703 3404232 3666096 3971604 4538976 5295472 5957406 6808464 7332192 7943208 10590944 11914812 13616928 15886416 23829624 31772832 47659248 95318496