Search a number
-
+
153037248 = 26371319461
BaseRepresentation
bin10010001111100…
…10100111000000
3101122222002122020
421013302213000
5303134142443
623104041440
73535536510
oct1107624700
9348862566
10153037248
1179427171
1243303280
13259234b0
1416479840
15d67e583
hex91f29c0

153037248 has 224 divisors, whose sum is σ = 525719040. Its totient is φ = 38154240.

The previous prime is 153037231. The next prime is 153037249. The reversal of 153037248 is 842730351.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153037249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331738 + ... + 332198.

It is an arithmetic number, because the mean of its divisors is an integer number (2346960).

Almost surely, 2153037248 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 153037248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262859520).

153037248 is an abundant number, since it is smaller than the sum of its proper divisors (372681792).

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

153037248 is a wasteful number, since it uses less digits than its factorization.

153037248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 153037248 is about 12370.8224463857. The cubic root of 153037248 is about 534.8915237023.

Adding to 153037248 its reverse (842730351), we get a palindrome (995767599).

The spelling of 153037248 in words is "one hundred fifty-three million, thirty-seven thousand, two hundred forty-eight".