Search a number
-
+
61357536 = 25321911213
BaseRepresentation
bin1110101000001…
…1110111100000
311021110021201100
43222003313200
5111201420121
610031034400
71343346642
oct352036740
9137407640
1061357536
11316a8909
121866ba00
13c933b46
148212892
1555c0026
hex3a83de0

61357536 has 72 divisors (see below), whose sum is σ = 183685320. Its totient is φ = 19374336.

The previous prime is 61357529. The next prime is 61357547. The reversal of 61357536 is 63575316.

It is a happy number.

61357536 is a `hidden beast` number, since 613 + 5 + 7 + 5 + 36 = 666.

61357536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61357536.

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 11 ways as a sum of consecutive naturals, for example, 135 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (2551185).

Almost surely, 261357536 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 61357536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91842660).

61357536 is an abundant number, since it is smaller than the sum of its proper divisors (122327784).

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

61357536 is a wasteful number, since it uses less digits than its factorization.

61357536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248 (or 11237 counting only the distinct ones).

The product of its digits is 56700, while the sum is 36.

The square root of 61357536 is about 7833.1051314278. The cubic root of 61357536 is about 394.4173131698.

The spelling of 61357536 in words is "sixty-one million, three hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 11213 22426 33639 44852 67278 89704 100917 134556 179408 201834 213047 269112 358816 403668 426094 538224 639141 807336 852188 1076448 1278282 1614672 1704376 1917423 2556564 3229344 3408752 3834846 5113128 6817504 7669692 10226256 15339384 20452512 30678768 61357536