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61541316 = 2233797213
BaseRepresentation
bin1110101011000…
…0101111000100
311021210121211000
43222300233010
5111223310231
610035013300
71345043514
oct352605704
9137717730
1061541316
11318139a1
121873a230
13c9996a5
14825d844
1556096e6
hex3ab0bc4

61541316 has 48 divisors (see below), whose sum is σ = 161593600. Its totient is φ = 20251296.

The previous prime is 61541303. The next prime is 61541341. The reversal of 61541316 is 61314516.

61541316 is a `hidden beast` number, since 615 + 41 + 3 + 1 + 6 = 666.

61541316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61541316.

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, 4926 + ... + 12138.

Almost surely, 261541316 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 61541316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80796800).

61541316 is an abundant number, since it is smaller than the sum of its proper divisors (100052284).

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

61541316 is a wasteful number, since it uses less digits than its factorization.

61541316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7297 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 61541316 is about 7844.8273403562. The cubic root of 61541316 is about 394.8107109926.

The spelling of 61541316 in words is "sixty-one million, five hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 7213 8532 14426 21639 28852 43278 64917 86556 129834 194751 259668 389502 569827 779004 1139654 1709481 2279308 3418962 5128443 6837924 10256886 15385329 20513772 30770658 61541316