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155506806 = 232713139683
BaseRepresentation
bin10010100010011…
…01100001110110
3101211121120020100
421101031201312
5304302204211
623233014530
73565533420
oct1121154166
9354546210
10155506806
117a863624
12440b4446
13262a9580
141691d810
15d9bb156
hex944d876

155506806 has 96 divisors (see below), whose sum is σ = 418279680. Its totient is φ = 40658112.

The previous prime is 155506783. The next prime is 155506807. The reversal of 155506806 is 608605551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155506807) 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 47 ways as a sum of consecutive naturals, for example, 227341 + ... + 228023.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2155506806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155506806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

155506806 is an abundant number, since it is smaller than the sum of its proper divisors (262772874).

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

155506806 is a wasteful number, since it uses less digits than its factorization.

155506806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 155506806 is about 12470.2368060915. The cubic root of 155506806 is about 537.7533614268.

The spelling of 155506806 in words is "one hundred fifty-five million, five hundred six thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 139 182 234 273 278 417 546 683 819 834 973 1251 1366 1638 1807 1946 2049 2502 2919 3614 4098 4781 5421 5838 6147 8757 8879 9562 10842 12294 12649 14343 16263 17514 17758 25298 26637 28686 32526 37947 43029 53274 62153 75894 79911 86058 94937 113841 124306 159822 186459 189874 227682 284811 372918 559377 569622 664559 854433 1118754 1234181 1329118 1708866 1993677 2468362 3702543 3987354 5981031 7405086 8639267 11107629 11962062 17278534 22215258 25917801 51835602 77753403 155506806