Search a number
-
+
150290944 = 291092693
BaseRepresentation
bin10001111010101…
…00001000000000
3101110210120102021
420331110020000
5301433302234
622525131224
73503311006
oct1075241000
9343716367
10150290944
11779208a1
12423b9b14
13251a146b
1415d62a76
15d2da9b4
hex8f54200

150290944 has 40 divisors (see below), whose sum is σ = 303155820. Its totient is φ = 74428416.

The previous prime is 150290941. The next prime is 150290951. The reversal of 150290944 is 449092051.

It can be written as a sum of positive squares in 2 ways, for example, as 149817600 + 473344 = 12240^2 + 688^2 .

It is a super-2 number, since 2×1502909442 = 45174735696822272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150290941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54462 + ... + 57154.

Almost surely, 2150290944 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 150290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151577910).

150290944 is an abundant number, since it is smaller than the sum of its proper divisors (152864876).

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

150290944 is an equidigital number, since it uses as much as digits as its factorization.

150290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 150290944 is about 12259.3206989621. The cubic root of 150290944 is about 531.6725895421.

The spelling of 150290944 in words is "one hundred fifty million, two hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 872 1744 2693 3488 5386 6976 10772 13952 21544 27904 43088 55808 86176 172352 293537 344704 587074 689408 1174148 1378816 2348296 4696592 9393184 18786368 37572736 75145472 150290944