Search a number
-
+
150896656 = 24372832
BaseRepresentation
bin10001111111010…
…00000000010000
3101111221100022001
420333220000100
5302112143111
622550123344
73511412641
oct1077500020
9344840261
10150896656
11781a4989
1242650554
1325354081
141607d6c8
15d3aa1c1
hex8fe8010

150896656 has 45 divisors (see below), whose sum is σ = 304141341. Its totient is φ = 72524736.

The previous prime is 150896633. The next prime is 150896659. The reversal of 150896656 is 656698051.

The square root of 150896656 is 12284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 135024400 + 15872256 = 11620^2 + 3984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150896659) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1817991 + ... + 1818073.

Almost surely, 2150896656 is an apocalyptic number.

150896656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

150896656 is the 12284-th square number.

It is an amenable number.

150896656 is an abundant number, since it is smaller than the sum of its proper divisors (153244685).

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

150896656 is an frugal number, since it uses more digits than its factorization.

150896656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The cubic root of 150896656 is about 532.3858922184.

The spelling of 150896656 in words is "one hundred fifty million, eight hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 37 74 83 148 166 296 332 592 664 1328 1369 2738 3071 5476 6142 6889 10952 12284 13778 21904 24568 27556 49136 55112 110224 113627 227254 254893 454508 509786 909016 1019572 1818032 2039144 4078288 9431041 18862082 37724164 75448328 150896656