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48924096 = 26313171153
BaseRepresentation
bin1011101010100…
…0010111000000
310102001121020120
42322220113000
5100011032341
64504340240
71132563564
oct272502700
9112047216
1048924096
1125686441
1214474680
13a19c790
1466d76a4
154466066
hex2ea85c0

48924096 has 112 divisors (see below), whose sum is σ = 147730464. Its totient is φ = 14155776.

The previous prime is 48924061. The next prime is 48924173. The reversal of 48924096 is 69042984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41856 + ... + 43008.

It is an arithmetic number, because the mean of its divisors is an integer number (1319022).

Almost surely, 248924096 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 48924096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73865232).

48924096 is an abundant number, since it is smaller than the sum of its proper divisors (98806368).

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

48924096 is a wasteful number, since it uses less digits than its factorization.

48924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 48924096 is about 6994.5761844446. The cubic root of 48924096 is about 365.7415237339.

The spelling of 48924096 in words is "forty-eight million, nine hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1153 1248 1326 1632 1768 2306 2496 2652 3264 3459 3536 4612 5304 6918 7072 9224 10608 13836 14144 14989 18448 19601 21216 27672 29978 36896 39202 42432 44967 55344 58803 59956 73792 78404 89934 110688 117606 119912 156808 179868 221376 235212 239824 254813 313616 359736 470424 479648 509626 627232 719472 764439 940848 959296 1019252 1254464 1438944 1528878 1881696 2038504 2877888 3057756 3763392 4077008 6115512 8154016 12231024 16308032 24462048 48924096