Search a number
-
+
61284608 = 287113109
BaseRepresentation
bin1110100111001…
…0000100000000
311021022120200022
43221302010000
5111142101413
610025313012
71342624220
oct351620400
9137276608
1061284608
1131659040
1218635768
13c9098a8
1481d4080
1555a8608
hex3a72100

61284608 has 72 divisors (see below), whose sum is σ = 152564160. Its totient is φ = 23869440.

The previous prime is 61284607. The next prime is 61284611. The reversal of 61284608 is 80648216.

It is not an unprimeable number, because it can be changed into a prime (61284607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18158 + ... + 21266.

Almost surely, 261284608 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 61284608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76282080).

61284608 is an abundant number, since it is smaller than the sum of its proper divisors (91279552).

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

61284608 is a wasteful number, since it uses less digits than its factorization.

61284608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 61284608 is about 7828.4486330307. The cubic root of 61284608 is about 394.2609864369.

The spelling of 61284608 in words is "sixty-one million, two hundred eighty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 3109 4928 6218 9856 12436 19712 21763 24872 34199 43526 49744 68398 87052 99488 136796 174104 198976 239393 273592 348208 397952 478786 547184 696416 795904 957572 1094368 1392832 1915144 2188736 2785664 3830288 4377472 5571328 7660576 8754944 15321152 30642304 61284608