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150247328 = 25721131281
BaseRepresentation
bin10001111010010…
…01011110100000
3101110201100120212
420331021132200
5301430403303
622524153252
73503036600
oct1075113640
9343640525
10150247328
11778a1050
1242398828
132518765a
1415d50c00
15d2ccad8
hex8f497a0

150247328 has 144 divisors (see below), whose sum is σ = 388862208. Its totient is φ = 56448000.

The previous prime is 150247327. The next prime is 150247333. The reversal of 150247328 is 823742051.

It is a super-2 number, since 2×1502473282 = 45148519142279168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 150247294 and 150247303.

It is not an unprimeable number, because it can be changed into a prime (150247327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534548 + ... + 534828.

It is an arithmetic number, because the mean of its divisors is an integer number (2700432).

Almost surely, 2150247328 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 150247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194431104).

150247328 is an abundant number, since it is smaller than the sum of its proper divisors (238614880).

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

150247328 is a wasteful number, since it uses less digits than its factorization.

150247328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 150247328 is about 12257.5416784933. The cubic root of 150247328 is about 531.6211522550.

Adding to 150247328 its reverse (823742051), we get a palindrome (973989379).

The spelling of 150247328 in words is "one hundred fifty million, two hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 88 98 112 124 154 176 196 217 224 248 281 308 341 352 392 434 496 539 562 616 682 784 868 992 1078 1124 1232 1364 1519 1568 1736 1967 2156 2248 2387 2464 2728 3038 3091 3472 3934 4312 4496 4774 5456 6076 6182 6944 7868 8624 8711 8992 9548 10912 12152 12364 13769 15736 16709 17248 17422 19096 21637 24304 24728 27538 31472 33418 34844 38192 43274 48608 49456 55076 60977 62944 66836 69688 76384 86548 95821 98912 110152 121954 133672 139376 151459 173096 191642 220304 243908 267344 278752 302918 346192 383284 426839 440608 487816 534688 605836 670747 692384 766568 853678 975632 1211672 1341494 1533136 1707356 1951264 2423344 2682988 3066272 3414712 4695229 4846688 5365976 6829424 9390458 10731952 13658848 18780916 21463904 37561832 75123664 150247328