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61377316 = 227111315329
BaseRepresentation
bin1110101000100…
…0101100100100
311021111021211221
43222020230210
5111203033231
610031310124
71343461420
oct352105444
9137437757
1061377316
1131711760
121867b344
13c93cb50
148219b80
1555c5d11
hex3a88b24

61377316 has 48 divisors (see below), whose sum is σ = 144224640. Its totient is φ = 22072320.

The previous prime is 61377313. The next prime is 61377319.

It is a happy number.

61377316 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (61377313) and next prime (61377319).

It is not an unprimeable number, because it can be changed into a prime (61377313) 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 15 ways as a sum of consecutive naturals, for example, 3661 + ... + 11668.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 261377316 is an apocalyptic number.

It is an amenable number.

61377316 is an abundant number, since it is smaller than the sum of its proper divisors (82847324).

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

61377316 is a wasteful number, since it uses less digits than its factorization.

61377316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15364 (or 15362 counting only the distinct ones).

The product of its digits is 15876, while the sum is 34.

The square root of 61377316 is about 7834.3676196615. The cubic root of 61377316 is about 394.4596917527.

The spelling of 61377316 in words is "sixty-one million, three hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 15329 30658 61316 107303 168619 199277 214606 337238 398554 429212 674476 797108 1180333 1394939 2192047 2360666 2789878 4384094 4721332 5579756 8768188 15344329 30688658 61377316