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150276608 = 29292349
BaseRepresentation
bin10001111010100…
…00101000000000
3101110202211202022
420331100220000
5301432322413
622524541012
73503221136
oct1075205000
9343684668
10150276608
1177911049
12423b1768
1325197a91
1415d5b756
15d2d6608
hex8f50a00

150276608 has 60 divisors (see below), whose sum is σ = 311861550. Its totient is φ = 72339456.

The previous prime is 150276601. The next prime is 150276613. The reversal of 150276608 is 806672051.

It can be written as a sum of positive squares in 3 ways, for example, as 141324544 + 8952064 = 11888^2 + 2992^2 .

It is not an unprimeable number, because it can be changed into a prime (150276601) 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, 430418 + ... + 430766.

Almost surely, 2150276608 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 150276608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155930775).

150276608 is an abundant number, since it is smaller than the sum of its proper divisors (161584942).

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

150276608 is an frugal number, since it uses more digits than its factorization.

150276608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 150276608 is about 12258.7359870421. The cubic root of 150276608 is about 531.6556838870.

The spelling of 150276608 in words is "one hundred fifty million, two hundred seventy-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 349 464 512 698 841 928 1396 1682 1856 2792 3364 3712 5584 6728 7424 10121 11168 13456 14848 20242 22336 26912 40484 44672 53824 80968 89344 107648 161936 178688 215296 293509 323872 430592 587018 647744 1174036 1295488 2348072 2590976 4696144 5181952 9392288 18784576 37569152 75138304 150276608