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4096148928 = 26330017109
BaseRepresentation
bin1111010000100110…
…0100010111000000
3101120110121220222120
43310021210113000
531342103231203
61514242404240
7203335456104
oct36411442700
911513556876
104096148928
111812195353
12963960680
13503817381
142ac021904
1518e918b53
hexf42645c0

4096148928 has 56 divisors (see below), whose sum is σ = 10842863760. Its totient is φ = 1364736000.

The previous prime is 4096148923. The next prime is 4096148939. The reversal of 4096148928 is 8298416904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096148923) 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 7 ways as a sum of consecutive naturals, for example, 572638 + ... + 579746.

Almost surely, 24096148928 is an apocalyptic number.

4096148928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4096148928 is an abundant number, since it is smaller than the sum of its proper divisors (6746714832).

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

4096148928 is a wasteful number, since it uses less digits than its factorization.

4096148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125 (or 10115 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 4096148928 is about 64001.1634894242. The cubic root of 4096148928 is about 1600.0193914316.

The spelling of 4096148928 in words is "four billion, ninety-six million, one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 3001 6002 7109 9003 12004 14218 18006 21327 24008 28436 36012 42654 48016 56872 72024 85308 96032 113744 144048 170616 192064 227488 288096 341232 454976 576192 682464 1364928 21334109 42668218 64002327 85336436 128004654 170672872 256009308 341345744 512018616 682691488 1024037232 1365382976 2048074464 4096148928