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48272928 = 25311172689
BaseRepresentation
bin1011100000100…
…1011000100000
310100211112000020
42320021120200
544324213203
64442353440
71124212254
oct270113040
9110745006
1048272928
1125281190
12141bb880
13a002282
1465a8264
154388153
hex2e09620

48272928 has 96 divisors (see below), whose sum is σ = 146422080. Its totient is φ = 13762560.

The previous prime is 48272927. The next prime is 48272933. The reversal of 48272928 is 82927284.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48272928.

It is not an unprimeable number, because it can be changed into a prime (48272927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16608 + ... + 19296.

It is an arithmetic number, because the mean of its divisors is an integer number (1525230).

Almost surely, 248272928 is an apocalyptic number.

48272928 is a gapful number since it is divisible by the number (48) 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 48272928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211040).

48272928 is an abundant number, since it is smaller than the sum of its proper divisors (98149152).

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

48272928 is a wasteful number, since it uses less digits than its factorization.

48272928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2722 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 48272928 is about 6947.8721922615. The cubic root of 48272928 is about 364.1116269967. Note that the first 3 decimals are identical.

The spelling of 48272928 in words is "forty-eight million, two hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2689 2992 4488 5378 5984 8067 8976 10756 16134 17952 21512 29579 32268 43024 45713 59158 64536 86048 88737 91426 118316 129072 137139 177474 182852 236632 258144 274278 354948 365704 473264 502843 548556 709896 731408 946528 1005686 1097112 1419792 1462816 1508529 2011372 2194224 2839584 3017058 4022744 4388448 6034116 8045488 12068232 16090976 24136464 48272928