Search a number
-
+
55148940 = 2232571123173
BaseRepresentation
bin1101001001100…
…0000110001100
310211202212010100
43102120012030
5103104231230
65250011100
71236521040
oct322300614
9124685110
1055148940
1129148240
1216576a90
13b56bc12
147478020
154c95660
hex349818c

55148940 has 288 divisors, whose sum is σ = 218889216. Its totient is φ = 10897920.

The previous prime is 55148927. The next prime is 55148953. The reversal of 55148940 is 4984155.

It is an interprime number because it is at equal distance from previous prime (55148927) and next prime (55148953).

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

It is a junction number, because it is equal to n+sod(n) for n = 55148895 and 55148904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318694 + ... + 318866.

It is an arithmetic number, because the mean of its divisors is an integer number (760032).

Almost surely, 255148940 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 55148940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109444608).

55148940 is an abundant number, since it is smaller than the sum of its proper divisors (163740276).

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

55148940 is a wasteful number, since it uses less digits than its factorization.

55148940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 55148940 is about 7426.2332309186. The cubic root of 55148940 is about 380.6382165163.

The spelling of 55148940 in words is "fifty-five million, one hundred forty-eight thousand, nine hundred forty".