Search a number
-
+
61027648 = 2611233769
BaseRepresentation
bin1110100011001…
…1010101000000
311020211112012021
43220303111000
5111110341043
610020011224
71340504113
oct350632500
9136745167
1061027648
11314a2a80
1218530b14
13c849946
14816857a
1555573ed
hex3a33540

61027648 has 56 divisors (see below), whose sum is σ = 137891520. Its totient is φ = 26526720.

The previous prime is 61027643. The next prime is 61027651. The reversal of 61027648 is 84672016.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61027643) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14308 + ... + 18076.

Almost surely, 261027648 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 61027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68945760).

61027648 is an abundant number, since it is smaller than the sum of its proper divisors (76863872).

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

61027648 is a wasteful number, since it uses less digits than its factorization.

61027648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 61027648 is about 7812.0194572210. The cubic root of 61027648 is about 393.7091827010.

The spelling of 61027648 in words is "sixty-one million, twenty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 3769 4048 7538 8096 15076 16192 30152 41459 60304 82918 86687 120608 165836 173374 241216 331672 346748 663344 693496 953557 1326688 1386992 1907114 2653376 2773984 3814228 5547968 7628456 15256912 30513824 61027648