Search a number
-
+
96544896 = 27373733
BaseRepresentation
bin1011100000100…
…10100010000000
320201122222200220
411300102202000
5144203414041
613325143040
72251422000
oct560224200
9221588626
1096544896
114a551678
12283baa80
1317003c76
14cb72000
158720d66
hex5c12880

96544896 has 128 divisors (see below), whose sum is σ = 299472000. Its totient is φ = 27546624.

The previous prime is 96544867. The next prime is 96544913. The reversal of 96544896 is 69844569.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131346 + ... + 132078.

It is an arithmetic number, because the mean of its divisors is an integer number (2339625).

Almost surely, 296544896 is an apocalyptic number.

96544896 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 96544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149736000).

96544896 is an abundant number, since it is smaller than the sum of its proper divisors (202927104).

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

96544896 is an equidigital number, since it uses as much as digits as its factorization.

96544896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 745 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 96544896 is about 9825.7262327016. The cubic root of 96544896 is about 458.7503828322.

The spelling of 96544896 in words is "ninety-six million, five hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 733 784 896 1029 1176 1344 1372 1466 1568 2058 2199 2352 2688 2744 2932 3136 4116 4398 4704 5131 5488 5864 6272 8232 8796 9408 10262 10976 11728 15393 16464 17592 18816 20524 21952 23456 30786 32928 35184 35917 41048 43904 46912 61572 65856 70368 71834 82096 93824 107751 123144 131712 140736 143668 164192 215502 246288 251419 281472 287336 328384 431004 492576 502838 574672 656768 754257 862008 985152 1005676 1149344 1508514 1724016 1970304 2011352 2298688 3017028 3448032 4022704 4597376 6034056 6896064 8045408 12068112 13792128 16090816 24136224 32181632 48272448 96544896