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155442564 = 2234479761
BaseRepresentation
bin10010100001111…
…01110110000100
3101211111022010000
421100331312010
5304243130224
623231401300
73565145214
oct1120756604
9354438100
10155442564
117a81a332
1244083230
1326286264
1416904244
15d9a70c9
hex943dd84

155442564 has 30 divisors (see below), whose sum is σ = 406358414. Its totient is φ = 51814080.

The previous prime is 155442559. The next prime is 155442569. The reversal of 155442564 is 465244551.

155442564 is a `hidden beast` number, since 1 + 5 + 54 + 42 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (155442559) and next prime (155442569).

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 21068100 = 11592^2 + 4590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (155442569) 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 9 ways as a sum of consecutive naturals, for example, 239557 + ... + 240204.

Almost surely, 2155442564 is an apocalyptic number.

It is an amenable number.

155442564 is an abundant number, since it is smaller than the sum of its proper divisors (250915850).

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

155442564 is a wasteful number, since it uses less digits than its factorization.

155442564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479777 (or 479766 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 155442564 is about 12467.6607268565. The cubic root of 155442564 is about 537.6793001244.

The spelling of 155442564 in words is "one hundred fifty-five million, four hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 479761 959522 1439283 1919044 2878566 4317849 5757132 8635698 12953547 17271396 25907094 38860641 51814188 77721282 155442564