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61328592 = 2432131812
BaseRepresentation
bin1110100111110…
…0110011010000
311021101211000100
43221330303100
5111200003332
610030252400
71343166363
oct351746320
9137354010
1061328592
1131689096
1218657100
13c923910
1482060da
1555b667c
hex3a7ccd0

61328592 has 90 divisors (see below), whose sum is σ = 185864406. Its totient is φ = 18766080.

The previous prime is 61328563. The next prime is 61328609. The reversal of 61328592 is 29582316.

61328592 is a `hidden beast` number, since 61 + 3 + 2 + 8 + 592 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13220496 + 48108096 = 3636^2 + 6936^2 .

It is a super-2 number, since 2×613285922 = 7522392393404928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 338742 + ... + 338922.

Almost surely, 261328592 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 61328592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92932203).

61328592 is an abundant number, since it is smaller than the sum of its proper divisors (124535814).

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

61328592 is a wasteful number, since it uses less digits than its factorization.

61328592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 199 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 61328592 is about 7831.2573703078. The cubic root of 61328592 is about 394.3552843303.

The spelling of 61328592 in words is "sixty-one million, three hundred twenty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 181 208 234 312 362 468 543 624 724 936 1086 1448 1629 1872 2172 2353 2896 3258 4344 4706 6516 7059 8688 9412 13032 14118 18824 21177 26064 28236 32761 37648 42354 56472 65522 84708 98283 112944 131044 169416 196566 262088 294849 338832 393132 425893 524176 589698 786264 851786 1179396 1277679 1572528 1703572 2358792 2555358 3407144 3833037 4717584 5110716 6814288 7666074 10221432 15332148 20442864 30664296 61328592