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61136736 = 2531633907
BaseRepresentation
bin1110100100110…
…1111101100000
311021001001211120
43221031331200
5111122333421
610022212240
71341440133
oct351157540
9137031746
1061136736
1131567a31
1218584080
13c8874ab
14819621a
1555798c6
hex3a4df60

61136736 has 48 divisors (see below), whose sum is σ = 161509824. Its totient is φ = 20248704.

The previous prime is 61136723. The next prime is 61136741. The reversal of 61136736 is 63763116.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 61136697 and 61136706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13695 + ... + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (3364788).

Almost surely, 261136736 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 61136736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80754912).

61136736 is an abundant number, since it is smaller than the sum of its proper divisors (100373088).

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

61136736 is a wasteful number, since it uses less digits than its factorization.

61136736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4083 (or 4075 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 61136736 is about 7818.9984013299. The cubic root of 61136736 is about 393.9436304387.

The spelling of 61136736 in words is "sixty-one million, one hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3907 3912 5216 7814 7824 11721 15628 15648 23442 31256 46884 62512 93768 125024 187536 375072 636841 1273682 1910523 2547364 3821046 5094728 7642092 10189456 15284184 20378912 30568368 61136736