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61605045 = 3254493049
BaseRepresentation
bin1110101100000…
…0010010110101
311021220212020100
43223000102311
5111232330140
610040224313
71345430355
oct353002265
9137825210
1061605045
1131857867
121876b099
13c9bc6b8
148278b65
15561d530
hex3ac04b5

61605045 has 24 divisors (see below), whose sum is σ = 107055000. Its totient is φ = 32772096.

The previous prime is 61605031. The next prime is 61605101. The reversal of 61605045 is 54050616.

It is a happy number.

61605045 is a `hidden beast` number, since 616 + 0 + 5 + 0 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1418481 + 60186564 = 1191^2 + 7758^2 .

It is not a de Polignac number, because 61605045 - 28 = 61604789 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18681 + ... + 21729.

It is an arithmetic number, because the mean of its divisors is an integer number (4460625).

Almost surely, 261605045 is an apocalyptic number.

It is an amenable number.

61605045 is a deficient number, since it is larger than the sum of its proper divisors (45449955).

61605045 is a wasteful number, since it uses less digits than its factorization.

61605045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 61605045 is about 7848.8881378193. Note that the first 3 decimals coincide. The cubic root of 61605045 is about 394.9469458200.

The spelling of 61605045 in words is "sixty-one million, six hundred five thousand, forty-five".

Divisors: 1 3 5 9 15 45 449 1347 2245 3049 4041 6735 9147 15245 20205 27441 45735 137205 1369001 4107003 6845005 12321009 20535015 61605045