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96102048 = 2537831723
BaseRepresentation
bin1011011101001…
…10011010100000
320200211111020010
411232212122200
5144100231143
613311444520
72244565620
oct556463240
9220744203
1096102048
114a279989
1228226740
1316baa523
14ca98880
158684a33
hex5ba66a0

96102048 has 96 divisors (see below), whose sum is σ = 291949056. Its totient is φ = 27111168.

The previous prime is 96102047. The next prime is 96102049. The reversal of 96102048 is 84020169.

It is an interprime number because it is at equal distance from previous prime (96102047) and next prime (96102049).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (96102047) 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, 54915 + ... + 56637.

It is an arithmetic number, because the mean of its divisors is an integer number (3041136).

Almost surely, 296102048 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 96102048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145974528).

96102048 is an abundant number, since it is smaller than the sum of its proper divisors (195847008).

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

96102048 is a wasteful number, since it uses less digits than its factorization.

96102048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 96102048 is about 9803.1652031372. The cubic root of 96102048 is about 458.0478837321.

The spelling of 96102048 in words is "ninety-six million, one hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1723 1743 1992 2324 2656 3446 3486 3984 4648 5169 6892 6972 7968 9296 10338 12061 13784 13944 18592 20676 24122 27568 27888 36183 41352 48244 55136 55776 72366 82704 96488 143009 144732 165408 192976 286018 289464 385952 429027 572036 578928 858054 1001063 1144072 1157856 1716108 2002126 2288144 3003189 3432216 4004252 4576288 6006378 6864432 8008504 12012756 13728864 16017008 24025512 32034016 48051024 96102048