Search a number
-
+
152544768 = 293195227
BaseRepresentation
bin10010001011110…
…10011000000000
3101122001002002020
421011322120000
5303022413033
623045321440
73531415635
oct1105723000
9348032066
10152544768
1179120162
1243106280
13257b029c
141638c18c
15d5d36b3
hex917a600

152544768 has 80 divisors (see below), whose sum is σ = 427859520. Its totient is φ = 48162816.

The previous prime is 152544761. The next prime is 152544773. The reversal of 152544768 is 867445251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152544761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26571 + ... + 31797.

It is an arithmetic number, because the mean of its divisors is an integer number (5348244).

Almost surely, 2152544768 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 152544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213929760).

152544768 is an abundant number, since it is smaller than the sum of its proper divisors (275314752).

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

152544768 is an equidigital number, since it uses as much as digits as its factorization.

152544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5251 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 152544768 is about 12350.9015055582. The cubic root of 152544768 is about 534.3171396742.

The spelling of 152544768 in words is "one hundred fifty-two million, five hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 5227 7296 9728 10454 14592 15681 20908 29184 31362 41816 62724 83632 99313 125448 167264 198626 250896 297939 334528 397252 501792 595878 669056 794504 1003584 1191756 1338112 1589008 2007168 2383512 2676224 3178016 4014336 4767024 6356032 8028672 9534048 12712064 19068096 25424128 38136192 50848256 76272384 152544768