Search a number
-
+
55025360 = 24513157337
BaseRepresentation
bin1101000111100…
…1111011010000
310211112120121022
43101321323100
5103041302420
65243215012
71235464535
oct321717320
9124476538
1055025360
1129073405
1216517468
13b5278b0
147444d8c
154c6dc25
hex3479ed0

55025360 has 80 divisors (see below), whose sum is σ = 139064016. Its totient is φ = 20127744.

The previous prime is 55025357. The next prime is 55025393. The reversal of 55025360 is 6352055.

It can be written as a sum of positive squares in 8 ways, for example, as 12306064 + 42719296 = 3508^2 + 6536^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163112 + ... + 163448.

Almost surely, 255025360 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 55025360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69532008).

55025360 is an abundant number, since it is smaller than the sum of its proper divisors (84038656).

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

55025360 is a wasteful number, since it uses less digits than its factorization.

55025360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 55025360 is about 7417.9080609023. The cubic root of 55025360 is about 380.3536873217.

The spelling of 55025360 in words is "fifty-five million, twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 157 208 260 314 337 520 628 674 785 1040 1256 1348 1570 1685 2041 2512 2696 3140 3370 4082 4381 5392 6280 6740 8164 8762 10205 12560 13480 16328 17524 20410 21905 26960 32656 35048 40820 43810 52909 70096 81640 87620 105818 163280 175240 211636 264545 350480 423272 529090 687817 846544 1058180 1375634 2116360 2751268 3439085 4232720 5502536 6878170 11005072 13756340 27512680 55025360