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48487248 = 24364157
BaseRepresentation
bin1011100011110…
…1101101010000
310101020102000000
42320331231100
544403042443
64451130000
71126064145
oct270755520
9111212000
1048487248
1125408207
12142a3900
13a0789a4
1466223cc
1543cb8d3
hex2e3db50

48487248 has 70 divisors (see below), whose sum is σ = 140885514. Its totient is φ = 16158528.

The previous prime is 48487211. The next prime is 48487261. The reversal of 48487248 is 84278484.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 40602384 + 7884864 = 6372^2 + 2808^2 .

It is a super-2 number, since 2×484872482 = 4702026437227008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 9586 + ... + 13742.

Almost surely, 248487248 is an apocalyptic number.

48487248 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 48487248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70442757).

48487248 is an abundant number, since it is smaller than the sum of its proper divisors (92398266).

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

48487248 is an equidigital number, since it uses as much as digits as its factorization.

48487248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4162 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 48487248 is about 6963.2785381600. The cubic root of 48487248 is about 364.6496870345.

The spelling of 48487248 in words is "forty-eight million, four hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 4157 5832 8314 11664 12471 16628 24942 33256 37413 49884 66512 74826 99768 112239 149652 199536 224478 299304 336717 448956 598608 673434 897912 1010151 1346868 1795824 2020302 2693736 3030453 4040604 5387472 6060906 8081208 12121812 16162416 24243624 48487248