Search a number
-
+
157525544 = 23112353461
BaseRepresentation
bin10010110001110…
…10011000101000
3101222102010102102
421120322120220
5310311304134
623344152532
73621642101
oct1130723050
9358363372
10157525544
1180a12300
1244908748
13268353a7
1416cc73a8
15dc6937e
hex963a628

157525544 has 48 divisors (see below), whose sum is σ = 326278260. Its totient is φ = 71244800.

The previous prime is 157525541. The next prime is 157525547. The reversal of 157525544 is 445525751.

157525544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157525541) and next prime (157525547).

It can be written as a sum of positive squares in 2 ways, for example, as 154504900 + 3020644 = 12430^2 + 1738^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157525498 and 157525507.

It is not an unprimeable number, because it can be changed into a prime (157525541) 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, 341474 + ... + 341934.

Almost surely, 2157525544 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 157525544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163139130).

157525544 is an abundant number, since it is smaller than the sum of its proper divisors (168752716).

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

157525544 is a wasteful number, since it uses less digits than its factorization.

157525544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its digits is 140000, while the sum is 38.

The square root of 157525544 is about 12550.9180540708. The cubic root of 157525544 is about 540.0703429169.

The spelling of 157525544 in words is "one hundred fifty-seven million, five hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 353 461 484 706 922 968 1412 1844 2824 3688 3883 5071 7766 10142 15532 20284 31064 40568 42713 55781 85426 111562 162733 170852 223124 325466 341704 446248 650932 1301864 1790063 3580126 7160252 14320504 19690693 39381386 78762772 157525544