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61682052 = 223172111433
BaseRepresentation
bin1110101101001…
…1000110000100
311022001202212110
43223103012010
5111242311202
610042021020
71346201025
oct353230604
9138052773
1061682052
11318aa703
12187a7770
13ca18773
148298c4c
15563626c
hex3ad3184

61682052 has 48 divisors (see below), whose sum is σ = 153220032. Its totient is φ = 19246080.

The previous prime is 61682017. The next prime is 61682063. The reversal of 61682052 is 25028616.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42328 + ... + 43760.

It is an arithmetic number, because the mean of its divisors is an integer number (3192084).

Almost surely, 261682052 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 61682052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76610016).

61682052 is an abundant number, since it is smaller than the sum of its proper divisors (91537980).

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

61682052 is a wasteful number, since it uses less digits than its factorization.

61682052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 61682052 is about 7853.7922050434. The cubic root of 61682052 is about 395.1114400091. Note that the first 3 decimals are identical.

The spelling of 61682052 in words is "sixty-one million, six hundred eighty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 211 422 633 844 1266 1433 2532 2866 3587 4299 5732 7174 8598 10761 14348 17196 21522 24361 43044 48722 73083 97444 146166 292332 302363 604726 907089 1209452 1814178 3628356 5140171 10280342 15420513 20560684 30841026 61682052