[go: up one dir, main page]

Search a number
-
+
61411056 = 2437193947
BaseRepresentation
bin1110101001000…
…0111011110000
311021120000010120
43222100323300
5111210123211
610032130240
71343661660
oct352207360
9137500116
1061411056
1131735043
1218696980
13c952305
1482281a0
1555d0d06
hex3a90ef0

61411056 has 80 divisors (see below), whose sum is σ = 182440704. Its totient is φ = 17436672.

The previous prime is 61411043. The next prime is 61411069. The reversal of 61411056 is 65011416.

61411056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61411043) and next prime (61411069).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64375 + ... + 65321.

Almost surely, 261411056 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 61411056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91220352).

61411056 is an abundant number, since it is smaller than the sum of its proper divisors (121029648).

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

61411056 is a wasteful number, since it uses less digits than its factorization.

61411056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 61411056 is about 7836.5206565159. The cubic root of 61411056 is about 394.5319585817.

The spelling of 61411056 in words is "sixty-one million, four hundred eleven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 193 336 386 579 772 947 1158 1351 1544 1894 2316 2702 2841 3088 3788 4053 4632 5404 5682 6629 7576 8106 9264 10808 11364 13258 15152 16212 19887 21616 22728 26516 32424 39774 45456 53032 64848 79548 106064 159096 182771 318192 365542 548313 731084 1096626 1279397 1462168 2193252 2558794 2924336 3838191 4386504 5117588 7676382 8773008 10235176 15352764 20470352 30705528 61411056