Search a number
-
+
48615552 = 2736521
BaseRepresentation
bin1011100101110…
…1000010000000
310101110221000000
42321131002000
544421144202
64454000000
71130140206
oct271350200
9111427000
1048615552
1125495647
1214346000
13a0c21cb
146657076
15440491c
hex2e5d080

48615552 has 112 divisors (see below), whose sum is σ = 145489230. Its totient is φ = 16174080.

The previous prime is 48615551. The next prime is 48615559. The reversal of 48615552 is 25551684.

48615552 is a `hidden beast` number, since 48 + 61 + 5 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 3779136 = 6696^2 + 1944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48615551) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93052 + ... + 93572.

Almost surely, 248615552 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 48615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72744615).

48615552 is an abundant number, since it is smaller than the sum of its proper divisors (96873678).

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

48615552 is an frugal number, since it uses more digits than its factorization.

48615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 526 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 48615552 is about 6972.4853531578. The cubic root of 48615552 is about 364.9710416758.

The spelling of 48615552 in words is "forty-eight million, six hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 521 576 648 729 864 972 1042 1152 1296 1458 1563 1728 1944 2084 2592 2916 3126 3456 3888 4168 4689 5184 5832 6252 7776 8336 9378 10368 11664 12504 14067 15552 16672 18756 23328 25008 28134 31104 33344 37512 42201 46656 50016 56268 66688 75024 84402 93312 100032 112536 126603 150048 168804 200064 225072 253206 300096 337608 379809 450144 506412 600192 675216 759618 900288 1012824 1350432 1519236 1800576 2025648 2700864 3038472 4051296 5401728 6076944 8102592 12153888 16205184 24307776 48615552