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150380352 = 2632261077
BaseRepresentation
bin10001111011010…
…01111101000000
3101110222010001200
420331221331000
5301444132402
622531101200
73504132453
oct1075517500
9343863050
10150380352
1177981a91
1242441800
1325203075
1415d8749a
15d30721c
hex8f69f40

150380352 has 42 divisors (see below), whose sum is σ = 431039778. Its totient is φ = 50126592.

The previous prime is 150380303. The next prime is 150380353. The reversal of 150380352 is 253083051.

150380352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 147476736 + 2903616 = 12144^2 + 1704^2 .

It is a super-2 number, since 2×1503803522 = 45228500535287808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150380353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129963 + ... + 131114.

Almost surely, 2150380352 is an apocalyptic number.

150380352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150380352 is an abundant number, since it is smaller than the sum of its proper divisors (280659426).

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

150380352 is a wasteful number, since it uses less digits than its factorization.

150380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261095 (or 261082 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150380352 is about 12262.9666883671. The cubic root of 150380352 is about 531.7779992193. Note that the first 3 decimals are identical.

The spelling of 150380352 in words is "one hundred fifty million, three hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 261077 522154 783231 1044308 1566462 2088616 2349693 3132924 4177232 4699386 6265848 8354464 9398772 12531696 16708928 18797544 25063392 37595088 50126784 75190176 150380352