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61356736 = 267151907
BaseRepresentation
bin1110101000001…
…1101011000000
311021110020121201
43222003223000
5111201403421
610031030544
71343344420
oct352035300
9137406551
1061356736
11316a8251
121866b454
13c93367c
148212480
1555beb91
hex3a83ac0

61356736 has 56 divisors (see below), whose sum is σ = 140224256. Its totient is φ = 26092800.

The previous prime is 61356731. The next prime is 61356739. The reversal of 61356736 is 63765316.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 61356695 and 61356704.

It is not an unprimeable number, because it can be changed into a prime (61356731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67195 + ... + 68101.

Almost surely, 261356736 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 61356736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70112128).

61356736 is an abundant number, since it is smaller than the sum of its proper divisors (78867520).

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

61356736 is a wasteful number, since it uses less digits than its factorization.

61356736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 61356736 is about 7833.0540659439. The cubic root of 61356736 is about 394.4155989809.

The spelling of 61356736 in words is "sixty-one million, three hundred fifty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 604 907 1057 1208 1814 2114 2416 3628 4228 4832 6349 7256 8456 9664 12698 14512 16912 25396 29024 33824 50792 58048 67648 101584 136957 203168 273914 406336 547828 958699 1095656 1917398 2191312 3834796 4382624 7669592 8765248 15339184 30678368 61356736