Search a number
-
+
53555964 = 223711149389
BaseRepresentation
bin1100110001001…
…1001011111100
310201202220222020
43030103023330
5102202242324
65151520140
71220134560
oct314231374
9121686866
1053555964
112825a430
1215b29050
13b131b27
1471816a0
154a7d679
hex33132fc

53555964 has 96 divisors (see below), whose sum is σ = 157248000. Its totient is φ = 13781760.

The previous prime is 53555947. The next prime is 53555969. The reversal of 53555964 is 46955535.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53555969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137482 + ... + 137870.

It is an arithmetic number, because the mean of its divisors is an integer number (1638000).

Almost surely, 253555964 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 53555964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

53555964 is an abundant number, since it is smaller than the sum of its proper divisors (103692036).

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

53555964 is a wasteful number, since it uses less digits than its factorization.

53555964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 561 counting only the distinct ones).

The product of its digits is 405000, while the sum is 42.

The square root of 53555964 is about 7318.1940395155. The cubic root of 53555964 is about 376.9374431543.

The spelling of 53555964 in words is "fifty-three million, five hundred fifty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 149 154 231 298 308 389 447 462 596 778 894 924 1043 1167 1556 1639 1788 2086 2334 2723 3129 3278 4172 4279 4668 4917 5446 6258 6556 8169 8558 9834 10892 11473 12516 12837 16338 17116 19668 22946 25674 29953 32676 34419 45892 51348 57961 59906 68838 89859 115922 119812 137676 173883 179718 231844 347766 359436 405727 637571 695532 811454 1217181 1275142 1622908 1912713 2434362 2550284 3825426 4462997 4868724 7650852 8925994 13388991 17851988 26777982 53555964