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150994242 = 23272931243
BaseRepresentation
bin10001111111111…
…11110101000010
3101112010022011100
420333333311002
5302123303432
622552155230
73512300310
oct1077776502
9345108140
10150994242
1178261233
1242698b16
1325389609
14160a70b0
15d3c907c
hex8fffd42

150994242 has 144 divisors (see below), whose sum is σ = 408957120. Its totient is φ = 39372480.

The previous prime is 150994231. The next prime is 150994243. The reversal of 150994242 is 242499051.

It is a super-2 number, since 2×1509942422 = 45598522234309128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150994197 and 150994206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150994243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3511473 + ... + 3511515.

It is an arithmetic number, because the mean of its divisors is an integer number (2839980).

Almost surely, 2150994242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150994242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204478560).

150994242 is an abundant number, since it is smaller than the sum of its proper divisors (257962878).

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

150994242 is a wasteful number, since it uses less digits than its factorization.

150994242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150994242 is about 12287.9714355137. The cubic root of 150994242 is about 532.5006334714.

The spelling of 150994242 in words is "one hundred fifty million, nine hundred ninety-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 31 42 43 58 62 63 86 87 93 126 129 174 186 203 217 258 261 279 301 387 406 434 522 558 602 609 651 774 899 903 961 1218 1247 1302 1333 1798 1806 1827 1922 1953 2494 2666 2697 2709 2883 3654 3741 3906 3999 5394 5418 5766 6293 6727 7482 7998 8091 8649 8729 9331 11223 11997 12586 13454 16182 17298 17458 18662 18879 20181 22446 23994 26187 27869 27993 37758 38657 40362 41323 52374 55738 55986 56637 60543 77314 78561 82646 83607 83979 113274 115971 121086 123969 157122 167214 167958 195083 231942 247938 250821 270599 289261 347913 371907 390166 501642 541198 578522 585249 695826 743814 811797 867783 1170498 1198367 1623594 1735566 1755747 2396734 2435391 2603349 3511494 3595101 4870782 5206698 7190202 8388569 10785303 16777138 21570606 25165707 50331414 75497121 150994242