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155442528 = 25323731447
BaseRepresentation
bin10010100001111…
…01110101100000
3101211111022001200
421100331311200
5304243130103
623231401200
73565145133
oct1120756540
9354438050
10155442528
117a81a2aa
1244083200
1326286237
141690421a
15d9a70a3
hex943dd60

155442528 has 72 divisors (see below), whose sum is σ = 443531088. Its totient is φ = 51639552.

The previous prime is 155442499. The next prime is 155442541. The reversal of 155442528 is 825244551.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1554425282 = 48324759022061568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 155442492 and 155442501.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 106701 + ... + 108147.

It is an arithmetic number, because the mean of its divisors is an integer number (6160154).

Almost surely, 2155442528 is an apocalyptic number.

155442528 is a gapful number since it is divisible by the number (18) 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 155442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221765544).

155442528 is an abundant number, since it is smaller than the sum of its proper divisors (288088560).

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

155442528 is a wasteful number, since it uses less digits than its factorization.

155442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1825 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The square root of 155442528 is about 12467.6592831213. The cubic root of 155442528 is about 537.6792586162.

The spelling of 155442528 in words is "one hundred fifty-five million, four hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 373 746 1119 1447 1492 2238 2894 2984 3357 4341 4476 5788 5968 6714 8682 8952 11576 11936 13023 13428 17364 17904 23152 26046 26856 34728 35808 46304 52092 53712 69456 104184 107424 138912 208368 416736 539731 1079462 1619193 2158924 3238386 4317848 4857579 6476772 8635696 9715158 12953544 17271392 19430316 25907088 38860632 51814176 77721264 155442528