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150673842 = 2321137131157
BaseRepresentation
bin10001111101100…
…01100110110010
3101111112000122200
420332301212302
5302033030332
622541244030
73506464224
oct1076614662
9344460580
10150673842
1178062540
1242563616
13252a6827
1416022414
15d36417c
hex8fb19b2

150673842 has 96 divisors (see below), whose sum is σ = 370903104. Its totient is φ = 43804800.

The previous prime is 150673841. The next prime is 150673847. The reversal of 150673842 is 248376051.

150673842 is a `hidden beast` number, since 1 + 506 + 73 + 84 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150673797 and 150673806.

It is not an unprimeable number, because it can be changed into a prime (150673841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959628 + ... + 959784.

It is an arithmetic number, because the mean of its divisors is an integer number (3863574).

Almost surely, 2150673842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150673842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185451552).

150673842 is an abundant number, since it is smaller than the sum of its proper divisors (220229262).

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

150673842 is a wasteful number, since it uses less digits than its factorization.

150673842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 150673842 is about 12274.9273724939. The cubic root of 150673842 is about 532.1237228028.

The spelling of 150673842 in words is "one hundred fifty million, six hundred seventy-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 131 157 198 222 262 314 333 393 407 471 666 786 814 942 1179 1221 1413 1441 1727 2358 2442 2826 2882 3454 3663 4323 4847 5181 5809 7326 8646 9694 10362 11618 12969 14541 15543 17427 20567 25938 29082 31086 34854 41134 43623 52281 53317 61701 63899 87246 104562 106634 123402 127798 159951 185103 191697 226237 319902 370206 383394 452474 479853 575091 678711 760979 959706 1150182 1357422 1521958 2036133 2282937 4072266 4565874 6848811 8370769 13697622 16741538 25112307 50224614 75336921 150673842