Search a number
-
+
152232288 = 25313223547
BaseRepresentation
bin10010001001011…
…10000101100000
3101121110012102220
421010232011200
5302432413123
623034511040
73525644625
oct1104560540
9347405386
10152232288
1178a2740a
1242b95480
1325700ca0
141630a34c
15d570ce3
hex912e160

152232288 has 96 divisors (see below), whose sum is σ = 433069056. Its totient is φ = 46545408.

The previous prime is 152232287. The next prime is 152232293. The reversal of 152232288 is 882232251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152232287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278031 + ... + 278577.

It is an arithmetic number, because the mean of its divisors is an integer number (4511136).

Almost surely, 2152232288 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 152232288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216534528).

152232288 is an abundant number, since it is smaller than the sum of its proper divisors (280836768).

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

152232288 is a wasteful number, since it uses less digits than its factorization.

152232288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 152232288 is about 12338.2449319180. The cubic root of 152232288 is about 533.9520500086.

The spelling of 152232288 in words is "one hundred fifty-two million, two hundred thirty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 223 312 416 446 547 624 669 892 1094 1248 1338 1641 1784 2188 2676 2899 3282 3568 4376 5352 5798 6564 7111 7136 8697 8752 10704 11596 13128 14222 17394 17504 21333 21408 23192 26256 28444 34788 42666 46384 52512 56888 69576 85332 92768 113776 121981 139152 170664 227552 243962 278304 341328 365943 487924 682656 731886 975848 1463772 1585753 1951696 2927544 3171506 3903392 4757259 5855088 6343012 9514518 11710176 12686024 19029036 25372048 38058072 50744096 76116144 152232288