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48530376 = 233217311279
BaseRepresentation
bin1011100100100…
…0001111001000
310101022121011100
42321020033020
544410433001
64452101400
71126333656
oct271101710
9111277140
1048530376
1125437654
1214304860
13a0924cb
146633dd6
1543d9586
hex2e483c8

48530376 has 96 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 14722560.

The previous prime is 48530357. The next prime is 48530401. The reversal of 48530376 is 67303584.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48530376.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37305 + ... + 38583.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 248530376 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 48530376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

48530376 is an abundant number, since it is smaller than the sum of its proper divisors (95239224).

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

48530376 is a wasteful number, since it uses less digits than its factorization.

48530376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 48530376 is about 6966.3746669268. The cubic root of 48530376 is about 364.7577701000.

The spelling of 48530376 in words is "forty-eight million, five hundred thirty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 372 408 527 558 612 744 1054 1116 1224 1279 1581 2108 2232 2558 3162 3837 4216 4743 5116 6324 7674 9486 10232 11511 12648 15348 18972 21743 23022 30696 37944 39649 43486 46044 65229 79298 86972 92088 118947 130458 158596 173944 195687 237894 260916 317192 356841 391374 475788 521832 674033 713682 782748 951576 1348066 1427364 1565496 2022099 2696132 2854728 4044198 5392264 6066297 8088396 12132594 16176792 24265188 48530376