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150091552 = 2513421857
BaseRepresentation
bin10001111001000…
…11011100100000
3101110102102220101
420330203130200
5301410412202
622520552144
73501520462
oct1074433440
9343372811
10150091552
11777a5006
1242322654
1325131790
1415d10132
15d29b887
hex8f23720

150091552 has 48 divisors (see below), whose sum is σ = 319351032. Its totient is φ = 69027840.

The previous prime is 150091549. The next prime is 150091561. The reversal of 150091552 is 255190051.

It can be written as a sum of positive squares in 4 ways, for example, as 89189136 + 60902416 = 9444^2 + 7804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150091552.

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, 174708 + ... + 175564.

Almost surely, 2150091552 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 150091552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159675516).

150091552 is an abundant number, since it is smaller than the sum of its proper divisors (169259480).

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

150091552 is a wasteful number, since it uses less digits than its factorization.

150091552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 28.

The square root of 150091552 is about 12251.1857385316. The cubic root of 150091552 is about 531.4373609589.

It can be divided in two parts, 15009 and 1552, that added together give a palindrome (16561).

The spelling of 150091552 in words is "one hundred fifty million, ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 421 842 857 1684 1714 3368 3428 5473 6736 6856 10946 11141 13472 13712 21892 22282 27424 43784 44564 87568 89128 175136 178256 356512 360797 721594 1443188 2886376 4690361 5772752 9380722 11545504 18761444 37522888 75045776 150091552