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48284992 = 267289173
BaseRepresentation
bin1011100000110…
…0010101000000
310100212010120001
42320030111000
544330104432
64442525344
71124262400
oct270142500
9110763501
1048284992
112528a258
1214206854
13a007902
1465ac800
15438b9e7
hex2e0c540

48284992 has 84 divisors (see below), whose sum is σ = 113362740. Its totient is φ = 20342784.

The previous prime is 48284987. The next prime is 48285031. The reversal of 48284992 is 29948284.

It can be written as a sum of positive squares in 2 ways, for example, as 27709696 + 20575296 = 5264^2 + 4536^2 .

Its product of digits (331776) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279018 + ... + 279190.

Almost surely, 248284992 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 48284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56681370).

48284992 is an abundant number, since it is smaller than the sum of its proper divisors (65077748).

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

48284992 is a wasteful number, since it uses less digits than its factorization.

48284992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 48284992 is about 6948.7403174964. The cubic root of 48284992 is about 364.1419564655.

The spelling of 48284992 in words is "forty-eight million, two hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 173 178 196 224 346 356 392 448 623 692 712 784 1211 1246 1384 1424 1568 2422 2492 2768 2848 3136 4361 4844 4984 5536 5696 8477 8722 9688 9968 11072 15397 16954 17444 19376 19936 30794 33908 34888 38752 39872 61588 67816 69776 77504 107779 123176 135632 139552 215558 246352 271264 279104 431116 492704 542528 754453 862232 985408 1508906 1724464 3017812 3448928 6035624 6897856 12071248 24142496 48284992