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48661284 = 22372389283
BaseRepresentation
bin1011100110100…
…0001100100100
310101120020201210
42321220030210
544424130114
64454551420
71130420430
oct271501444
9111506653
1048661284
1125516a41
1214368570
13a109c79
1466699c0
154413259
hex2e68324

48661284 has 96 divisors (see below), whose sum is σ = 137410560. Its totient is φ = 13102848.

The previous prime is 48661279. The next prime is 48661297. The reversal of 48661284 is 48216684.

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 31 ways as a sum of consecutive naturals, for example, 171807 + ... + 172089.

It is an arithmetic number, because the mean of its divisors is an integer number (1431360).

Almost surely, 248661284 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 48661284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68705280).

48661284 is an abundant number, since it is smaller than the sum of its proper divisors (88749276).

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

48661284 is a wasteful number, since it uses less digits than its factorization.

48661284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 48661284 is about 6975.7640441747. The cubic root of 48661284 is about 365.0854469371.

The spelling of 48661284 in words is "forty-eight million, six hundred sixty-one thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 89 92 138 161 178 267 276 283 322 356 483 534 566 623 644 849 966 1068 1132 1246 1698 1869 1932 1981 2047 2492 3396 3738 3962 4094 5943 6141 6509 7476 7924 8188 11886 12282 13018 14329 19527 23772 24564 25187 26036 28658 39054 42987 45563 50374 57316 75561 78108 85974 91126 100748 136689 151122 171948 176309 182252 273378 302244 352618 528927 546756 579301 705236 1057854 1158602 1737903 2115708 2317204 3475806 4055107 6951612 8110214 12165321 16220428 24330642 48661284