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48088728 = 233529853
BaseRepresentation
bin1011011101110…
…0011010011000
310100111011100000
42313130122120
544302314403
64434413000
71122514242
oct267343230
9110434300
1048088728
1125165856
1214131160
139c6948c
14655b092
15434d7a3
hex2ddc698

48088728 has 96 divisors (see below), whose sum is σ = 139885200. Its totient is φ = 15458688.

The previous prime is 48088727. The next prime is 48088741. The reversal of 48088728 is 82788084.

It is a super-3 number, since 3×480887283 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48088727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55950 + ... + 56802.

Almost surely, 248088728 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 48088728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69942600).

48088728 is an abundant number, since it is smaller than the sum of its proper divisors (91796472).

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

48088728 is a wasteful number, since it uses less digits than its factorization.

48088728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 48088728 is about 6934.6036656755. The cubic root of 48088728 is about 363.6479105576.

The spelling of 48088728 in words is "forty-eight million, eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 853 972 1044 1566 1706 1944 2088 2349 2559 3132 3412 4698 5118 6264 6824 7047 7677 9396 10236 14094 15354 18792 20472 23031 24737 28188 30708 46062 49474 56376 61416 69093 74211 92124 98948 138186 148422 184248 197896 207279 222633 276372 296844 414558 445266 552744 593688 667899 829116 890532 1335798 1658232 1781064 2003697 2671596 4007394 5343192 6011091 8014788 12022182 16029576 24044364 48088728