Search a number
-
+
145040288 = 2541227487
BaseRepresentation
bin10001010010100…
…10001110100000
3101002220210212112
420221102032200
5244112242123
622220414452
73410551661
oct1051221640
9332823775
10145040288
1174964a08
12406a7428
1324083573
1415397368
15caeed78
hex8a523a0

145040288 has 48 divisors (see below), whose sum is σ = 294404544. Its totient is φ = 70295040.

The previous prime is 145040279. The next prime is 145040293. The reversal of 145040288 is 882040541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

Together with 149364256 it forms an amicable pair .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297581 + ... + 298067.

It is an arithmetic number, because the mean of its divisors is an integer number (6133428).

Almost surely, 2145040288 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 145040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147202272).

145040288 is an abundant number, since it is smaller than the sum of its proper divisors (149364256).

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

145040288 is a wasteful number, since it uses less digits than its factorization.

145040288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 145040288 is about 12043.2673307537. The cubic root of 145040288 is about 525.4074394213.

The spelling of 145040288 in words is "one hundred forty-five million, forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 227 328 454 487 656 908 974 1312 1816 1948 3632 3896 7264 7792 9307 15584 18614 19967 37228 39934 74456 79868 110549 148912 159736 221098 297824 319472 442196 638944 884392 1768784 3537568 4532509 9065018 18130036 36260072 72520144 145040288