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55238580 = 22325397773
BaseRepresentation
bin1101001010110…
…1111110110100
310211221102002100
43102231332310
5103120113310
65251542100
71240343265
oct322557664
9124842070
1055238580
11291a9621
12165ba930
13b5a0967
14749c96c
154cb1ec0
hex34adfb4

55238580 has 72 divisors (see below), whose sum is σ = 168196392. Its totient is φ = 14674176.

The previous prime is 55238569. The next prime is 55238587. The reversal of 55238580 is 8583255.

55238580 is a `hidden beast` number, since 55 + 23 + 8 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 54110736 = 1062^2 + 7356^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55238587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71074 + ... + 71846.

It is an arithmetic number, because the mean of its divisors is an integer number (2336061).

Almost surely, 255238580 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 55238580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84098196).

55238580 is an abundant number, since it is smaller than the sum of its proper divisors (112957812).

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

55238580 is a wasteful number, since it uses less digits than its factorization.

55238580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 55238580 is about 7432.2661416287. The cubic root of 55238580 is about 380.8443367656.

The spelling of 55238580 in words is "fifty-five million, two hundred thirty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 773 794 1191 1546 1588 1985 2319 2382 3092 3573 3865 3970 4638 4764 5955 6957 7146 7730 7940 9276 11595 11910 13914 14292 15460 17865 23190 23820 27828 34785 35730 46380 69570 71460 139140 306881 613762 920643 1227524 1534405 1841286 2761929 3068810 3682572 4603215 5523858 6137620 9206430 11047716 13809645 18412860 27619290 55238580