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81250048 = 281124361
BaseRepresentation
bin1001101011111…
…00011100000000
312122212221010001
410311330130000
5131300000143
612021245344
72004420415
oct465743400
9178787101
1081250048
1141955400
1223263854
1313aaa369
14ab1010c
1571ee14d
hex4d7c700

81250048 has 108 divisors (see below), whose sum is σ = 185403064. Its totient is φ = 35481600.

The previous prime is 81250033. The next prime is 81250049. The reversal of 81250048 is 84005218.

It is a junction number, because it is equal to n+sod(n) for n = 81249998 and 81250025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81250049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331938 + ... + 1331998.

Almost surely, 281250048 is an apocalyptic number.

81250048 is a gapful number since it is divisible by the number (88) 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 81250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92701532).

81250048 is an abundant number, since it is smaller than the sum of its proper divisors (104153016).

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

81250048 is a wasteful number, since it uses less digits than its factorization.

81250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 81250048 is about 9013.8808512205. The cubic root of 81250048 is about 433.1196379617.

The spelling of 81250048 in words is "eighty-one million, two hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 61 64 86 88 121 122 128 172 176 242 244 256 344 352 473 484 488 671 688 704 946 968 976 1342 1376 1408 1892 1936 1952 2623 2684 2752 2816 3784 3872 3904 5203 5246 5368 5504 7381 7568 7744 7808 10406 10492 10736 11008 14762 15136 15488 15616 20812 20984 21472 28853 29524 30272 30976 41624 41968 42944 57706 59048 60544 83248 83936 85888 115412 118096 121088 166496 167872 171776 230824 236192 317383 332992 335744 461648 472384 634766 665984 671488 923296 944768 1269532 1331968 1846592 1889536 2539064 3693184 5078128 7386368 10156256 20312512 40625024 81250048