Search a number
-
+
5375952 = 2432371009
BaseRepresentation
bin10100100000011111010000
3101010010102100
4110200133100
52334012302
6311120400
763460221
oct24403720
911103370
105375952
11304203a
121973100
131162c4a
149dd248
15712d1c
hex5207d0

5375952 has 60 divisors (see below), whose sum is σ = 15467140. Its totient is φ = 1741824.

The previous prime is 5375947. The next prime is 5375957. The reversal of 5375952 is 2595735.

It is an interprime number because it is at equal distance from previous prime (5375947) and next prime (5375957).

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 2005056 = 1836^2 + 1416^2 .

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 (5375957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4824 + ... + 5832.

Almost surely, 25375952 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 5375952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733570).

5375952 is an abundant number, since it is smaller than the sum of its proper divisors (10091188).

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

5375952 is a wasteful number, since it uses less digits than its factorization.

5375952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1051 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 5375952 is about 2318.6099283838. The cubic root of 5375952 is about 175.1802442226.

The spelling of 5375952 in words is "five million, three hundred seventy-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1009 1332 1776 2018 2664 3027 4036 5328 6054 8072 9081 12108 16144 18162 24216 36324 37333 48432 72648 74666 111999 145296 149332 223998 298664 335997 447996 597328 671994 895992 1343988 1791984 2687976 5375952