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96485376 = 214313151
BaseRepresentation
bin1011100000001…
…00000000000000
320201112222001110
411300010000000
5144200013001
613324003320
72251053321
oct560040000
9221488043
1096485376
114a510989
1228390540
1316cb2b50
14cb58448
15870d3d6
hex5c04000

96485376 has 120 divisors (see below), whose sum is σ = 278912704. Its totient is φ = 29491200.

The previous prime is 96485371. The next prime is 96485377. The reversal of 96485376 is 67358469.

It is a super-2 number, since 2×964853762 = 18618855563722752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (96485371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638901 + ... + 639051.

Almost surely, 296485376 is an apocalyptic number.

96485376 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 96485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139456352).

96485376 is an abundant number, since it is smaller than the sum of its proper divisors (182427328).

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

96485376 is a wasteful number, since it uses less digits than its factorization.

96485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 96485376 is about 9822.6969819902. The cubic root of 96485376 is about 458.6560901353.

The spelling of 96485376 in words is "ninety-six million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 151 156 192 208 256 302 312 384 416 453 512 604 624 768 832 906 1024 1208 1248 1536 1664 1812 1963 2048 2416 2496 3072 3328 3624 3926 4096 4832 4992 5889 6144 6656 7248 7852 8192 9664 9984 11778 12288 13312 14496 15704 16384 19328 19968 23556 24576 26624 28992 31408 38656 39936 47112 49152 53248 57984 62816 77312 79872 94224 106496 115968 125632 154624 159744 188448 212992 231936 251264 309248 319488 376896 463872 502528 618496 638976 753792 927744 1005056 1236992 1507584 1855488 2010112 2473984 3015168 3710976 4020224 6030336 7421952 8040448 12060672 16080896 24121344 32161792 48242688 96485376