Search a number
-
+
152449407 = 32111981047
BaseRepresentation
bin10010001011000…
…11000101111111
3101121212020021100
421011203011333
5303011340112
623043304143
73530540625
oct1105430577
9347766240
10152449407
1179065550
124307b053
1325778a66
1416365515
15d5b52dc
hex916317f

152449407 has 24 divisors (see below), whose sum is σ = 252869760. Its totient is φ = 87529680.

The previous prime is 152449397. The next prime is 152449411. The reversal of 152449407 is 704944251.

It is a happy number.

152449407 is a `hidden beast` number, since 1 + 5 + 244 + 9 + 407 = 666.

It is not a de Polignac number, because 152449407 - 27 = 152449279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152449417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38643 + ... + 42404.

It is an arithmetic number, because the mean of its divisors is an integer number (10536240).

Almost surely, 2152449407 is an apocalyptic number.

152449407 is a deficient number, since it is larger than the sum of its proper divisors (100420353).

152449407 is a wasteful number, since it uses less digits than its factorization.

152449407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81083 (or 81080 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 152449407 is about 12347.0404146095. The cubic root of 152449407 is about 534.2057764362.

The spelling of 152449407 in words is "one hundred fifty-two million, four hundred forty-nine thousand, four hundred seven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 81047 243141 729423 891517 1539893 2674551 4619679 8023653 13859037 16938823 50816469 152449407