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150422832 = 243575527
BaseRepresentation
bin10001111011101…
…00010100110000
3101111001021100000
420331310110300
5302002012312
622532030000
73504400350
oct1075642460
9344037300
10150422832
1177a0099a
1242462300
13252194c1
1415d98b60
15d314adc
hex8f74530

150422832 has 120 divisors (see below), whose sum is σ = 499023616. Its totient is φ = 42970176.

The previous prime is 150422813. The next prime is 150422861. The reversal of 150422832 is 238224051.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150422796 and 150422805.

It is an unprimeable number.

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, 24453 + ... + 29979.

Almost surely, 2150422832 is an apocalyptic number.

150422832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150422832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249511808).

150422832 is an abundant number, since it is smaller than the sum of its proper divisors (348600784).

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

150422832 is an equidigital number, since it uses as much as digits as its factorization.

150422832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 150422832 is about 12264.6986102391. The cubic root of 150422832 is about 531.8280673794.

Adding to 150422832 its reverse (238224051), we get a palindrome (388646883).

It can be divided in two parts, 1504 and 22832, that added together give a square (24336 = 1562).

The spelling of 150422832 in words is "one hundred fifty million, four hundred twenty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 5527 6804 9072 11054 13608 16581 22108 27216 33162 38689 44216 49743 66324 77378 88432 99486 116067 132648 149229 154756 198972 232134 265296 298458 309512 348201 397944 447687 464268 596916 619024 696402 795888 895374 928536 1044603 1193832 1343061 1392804 1790748 1857072 2089206 2387664 2686122 2785608 3133809 3581496 4178412 5372244 5571216 6267618 7162992 8356824 9401427 10744488 12535236 16713648 18802854 21488976 25070472 37605708 50140944 75211416 150422832