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61289296 = 2423295743
BaseRepresentation
bin1110100111001…
…1001101010000
311021022211002221
43221303031100
5111142224141
610025350424
71342643665
oct351631520
9137284087
1061289296
1131661612
1218638414
13c90ba73
1481d5a6c
1555a9bd1
hex3a73350

61289296 has 40 divisors (see below), whose sum is σ = 128206080. Its totient is φ = 28296576.

The previous prime is 61289287. The next prime is 61289303. The reversal of 61289296 is 69298216.

61289296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7801 + ... + 13543.

It is an arithmetic number, because the mean of its divisors is an integer number (3205152).

Almost surely, 261289296 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 61289296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64103040).

61289296 is an abundant number, since it is smaller than the sum of its proper divisors (66916784).

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

61289296 is a wasteful number, since it uses less digits than its factorization.

61289296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5797 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 61289296 is about 7828.7480480598. The cubic root of 61289296 is about 394.2710392514.

The spelling of 61289296 in words is "sixty-one million, two hundred eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 5336 5743 10672 11486 22972 45944 91888 132089 166547 264178 333094 528356 666188 1056712 1332376 2113424 2664752 3830581 7661162 15322324 30644648 61289296