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95287296 = 2113131193
BaseRepresentation
bin1011010110111…
…11100000000000
320122022002121010
411223133200000
5143343143141
613242200520
72234633346
oct553374000
9218262533
1095287296
1149872835
1227ab3140
1316983720
14c925996
158573416
hex5adf800

95287296 has 96 divisors (see below), whose sum is σ = 273808080. Its totient is φ = 29294592.

The previous prime is 95287277. The next prime is 95287319. The reversal of 95287296 is 69278259.

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79276 + ... + 80468.

Almost surely, 295287296 is an apocalyptic number.

95287296 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 95287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136904040).

95287296 is an abundant number, since it is smaller than the sum of its proper divisors (178520784).

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

95287296 is a wasteful number, since it uses less digits than its factorization.

95287296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1211 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 95287296 is about 9761.5211929289. The cubic root of 95287296 is about 456.7497668463.

The spelling of 95287296 in words is "ninety-five million, two hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1193 1248 1536 1664 2048 2386 2496 3072 3328 3579 4772 4992 6144 6656 7158 9544 9984 13312 14316 15509 19088 19968 26624 28632 31018 38176 39936 46527 57264 62036 76352 79872 93054 114528 124072 152704 186108 229056 248144 305408 372216 458112 496288 610816 744432 916224 992576 1221632 1488864 1832448 1985152 2443264 2977728 3664896 3970304 5955456 7329792 7940608 11910912 15881216 23821824 31762432 47643648 95287296