Search a number
-
+
54937652 = 227111071667
BaseRepresentation
bin1101000110010…
…0100000110100
310211101010021212
43101210200310
5103031001102
65241300552
71234651040
oct321444064
9124333255
1054937652
1129013520
1216494758
13b4c69b3
147421020
154c52c52
hex3464834

54937652 has 48 divisors (see below), whose sum is σ = 121056768. Its totient is φ = 21191520.

The previous prime is 54937633. The next prime is 54937657. The reversal of 54937652 is 25673945.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54937657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32123 + ... + 33789.

It is an arithmetic number, because the mean of its divisors is an integer number (2522016).

Almost surely, 254937652 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 54937652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60528384).

54937652 is an abundant number, since it is smaller than the sum of its proper divisors (66119116).

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

54937652 is a wasteful number, since it uses less digits than its factorization.

54937652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1794 counting only the distinct ones).

The product of its digits is 226800, while the sum is 41.

The square root of 54937652 is about 7411.9937938452. The cubic root of 54937652 is about 380.1514908452.

The spelling of 54937652 in words is "fifty-four million, nine hundred thirty-seven thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1177 1498 1667 2354 2996 3334 4708 6668 8239 11669 16478 18337 23338 32956 36674 46676 73348 128359 178369 256718 356738 513436 713476 1248583 1962059 2497166 3924118 4994332 7848236 13734413 27468826 54937652