Search a number
-
+
61350048 = 253423669
BaseRepresentation
bin1110101000001…
…0000010100000
311021102220110000
43222002002200
5111201200143
610030540000
71343316054
oct352020240
9137386400
1061350048
11316a3221
1218667600
13c930606
14820dc64
1555bcbd3
hex3a820a0

61350048 has 60 divisors (see below), whose sum is σ = 180436410. Its totient is φ = 20449152.

The previous prime is 61350041. The next prime is 61350049. The reversal of 61350048 is 84005316.

61350048 is a `hidden beast` number, since 613 + 5 + 0 + 0 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55532304 + 5817744 = 7452^2 + 2412^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61350041) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9243 + ... + 14426.

Almost surely, 261350048 is an apocalyptic number.

It is an amenable number.

61350048 is an abundant number, since it is smaller than the sum of its proper divisors (119086362).

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

61350048 is a wasteful number, since it uses less digits than its factorization.

61350048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23691 (or 23674 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61350048 is about 7832.6271454730. The cubic root of 61350048 is about 394.4012677787.

The spelling of 61350048 in words is "sixty-one million, three hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 23669 47338 71007 94676 142014 189352 213021 284028 378704 426042 568056 639063 757408 852084 1136112 1278126 1704168 1917189 2272224 2556252 3408336 3834378 5112504 6816672 7668756 10225008 15337512 20450016 30675024 61350048