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155267442 = 234112892
BaseRepresentation
bin10010100000100…
…11000101110010
3101211011101220000
421100103011302
5304222024232
623223530430
73563515521
oct1120230562
9354141800
10155267442
117a70a800
1243bb9a16
1326224635
141689a4b8
15d97027c
hex9413172

155267442 has 90 divisors (see below), whose sum is σ = 386763069. Its totient is φ = 46522080.

The previous prime is 155267419. The next prime is 155267447. The reversal of 155267442 is 244762551.

It is a happy number.

155267442 is a `hidden beast` number, since 1 + 552 + 67 + 4 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138791961 + 16475481 = 11781^2 + 4059^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8811.

Its product of digits (67200) is a multiple of the sum of its prime divisors (105).

It is a junction number, because it is equal to n+sod(n) for n = 155267397 and 155267406.

It is not an unprimeable number, because it can be changed into a prime (155267447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1744534 + ... + 1744622.

Almost surely, 2155267442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155267442

155267442 is an abundant number, since it is smaller than the sum of its proper divisors (231495627).

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

155267442 is an equidigital number, since it uses as much as digits as its factorization.

155267442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 155267442 is about 12460.6356980693. The cubic root of 155267442 is about 537.4773072806.

The spelling of 155267442 in words is "one hundred fifty-five million, two hundred sixty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 89 99 121 162 178 198 242 267 297 363 534 594 726 801 891 979 1089 1602 1782 1958 2178 2403 2937 3267 4806 5874 6534 7209 7921 8811 9801 10769 14418 15842 17622 19602 21538 23763 26433 32307 47526 52866 64614 71289 79299 87131 96921 142578 158598 174262 193842 213867 261393 290763 427734 522786 581526 641601 784179 872289 958441 1283202 1568358 1744578 1916882 2352537 2875323 4705074 5750646 7057611 8625969 14115222 17251938 25877907 51755814 77633721 155267442