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150046312 = 231338537
BaseRepresentation
bin10001111000110…
…00011001101000
3101110100010211211
420330120121220
5301402440222
622520002504
73501241543
oct1074303150
9343303754
10150046312
1177774019
1242300434
1325117000
1415cdb85a
15d28d277
hex8f18668

150046312 has 32 divisors (see below), whose sum is σ = 304806600. Its totient is φ = 69244032.

The previous prime is 150046291. The next prime is 150046333. The reversal of 150046312 is 213640051.

It is an interprime number because it is at equal distance from previous prime (150046291) and next prime (150046333).

It can be written as a sum of positive squares in 4 ways, for example, as 24740676 + 125305636 = 4974^2 + 11194^2 .

It is a congruent number.

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, 13308 + ... + 21844.

Almost surely, 2150046312 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 150046312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152403300).

150046312 is an abundant number, since it is smaller than the sum of its proper divisors (154760288).

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

150046312 is an equidigital number, since it uses as much as digits as its factorization.

150046312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8582 (or 8552 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 150046312 is about 12249.3392474860. The cubic root of 150046312 is about 531.3839610131.

Adding to 150046312 its reverse (213640051), we get a palindrome (363686363).

It can be divided in two parts, 15004 and 6312, that added together give a square (21316 = 1462).

The spelling of 150046312 in words is "one hundred fifty million, forty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 2197 4394 8537 8788 17074 17576 34148 68296 110981 221962 443924 887848 1442753 2885506 5771012 11542024 18755789 37511578 75023156 150046312