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61689144 = 233111811291
BaseRepresentation
bin1110101101010…
…0110100111000
311022002010121010
43223110310320
5111243023034
610042113520
71346230506
oct353246470
9138063533
1061689144
1131904a70
12187ab8a0
13ca1ba6a
14829b676
1556383e9
hex3ad4d38

61689144 has 64 divisors (see below), whose sum is σ = 169303680. Its totient is φ = 18576000.

The previous prime is 61689139. The next prime is 61689157. The reversal of 61689144 is 44198616.

It is a congruent number.

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, 47139 + ... + 48429.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 261689144 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 61689144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84651840).

61689144 is an abundant number, since it is smaller than the sum of its proper divisors (107614536).

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

61689144 is a wasteful number, since it uses less digits than its factorization.

61689144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 61689144 is about 7854.2436936983. The cubic root of 61689144 is about 395.1265823012.

The spelling of 61689144 in words is "sixty-one million, six hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 181 264 362 543 724 1086 1291 1448 1991 2172 2582 3873 3982 4344 5164 5973 7746 7964 10328 11946 14201 15492 15928 23892 28402 30984 42603 47784 56804 85206 113608 170412 233671 340824 467342 701013 934684 1402026 1869368 2570381 2804052 5140762 5608104 7711143 10281524 15422286 20563048 30844572 61689144