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48281928 = 23341139353
BaseRepresentation
bin1011100000101…
…1100101001000
310100211222100120
42320023211020
544330010203
64442503240
71124250432
oct270134510
9110758316
1048281928
1125287a22
1214204b20
13a0063b6
1465ab652
15438ab53
hex2e0b948

48281928 has 64 divisors (see below), whose sum is σ = 124891200. Its totient is φ = 15544320.

The previous prime is 48281923. The next prime is 48281941. The reversal of 48281928 is 82918284.

It is a super-2 number, since 2×482819282 = 4662289142794368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48281928.

It is not an unprimeable number, because it can be changed into a prime (48281923) by changing a digit.

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, 136600 + ... + 136952.

It is an arithmetic number, because the mean of its divisors is an integer number (1951425).

Almost surely, 248281928 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 48281928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62445600).

48281928 is an abundant number, since it is smaller than the sum of its proper divisors (76609272).

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

48281928 is a wasteful number, since it uses less digits than its factorization.

48281928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 48281928 is about 6948.5198423837. The cubic root of 48281928 is about 364.1342539026.

The spelling of 48281928 in words is "forty-eight million, two hundred eighty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 139 164 246 278 328 353 417 492 556 706 834 984 1059 1112 1412 1668 2118 2824 3336 4236 5699 8472 11398 14473 17097 22796 28946 34194 43419 45592 49067 57892 68388 86838 98134 115784 136776 147201 173676 196268 294402 347352 392536 588804 1177608 2011747 4023494 6035241 8046988 12070482 16093976 24140964 48281928