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55159008 = 2533753293
BaseRepresentation
bin1101001001101…
…0100011100000
310211210100221020
43102122203200
5103110042013
65250125440
71236562302
oct322324340
9124710836
1055159008
1129154863
1216580880
13b573688
14747b972
154c98623
hex349a8e0

55159008 has 96 divisors (see below), whose sum is σ = 152028576. Its totient is φ = 17491968.

The previous prime is 55158989. The next prime is 55159009. The reversal of 55159008 is 80095155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 55159008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55159009) 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 15 ways as a sum of consecutive naturals, for example, 188110 + ... + 188402.

It is an arithmetic number, because the mean of its divisors is an integer number (1583631).

Almost surely, 255159008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55159008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76014288).

55159008 is an abundant number, since it is smaller than the sum of its proper divisors (96869568).

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

55159008 is a wasteful number, since it uses less digits than its factorization.

55159008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 55159008 is about 7426.9110671934. The cubic root of 55159008 is about 380.6613782331.

The spelling of 55159008 in words is "fifty-five million, one hundred fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 74 96 106 111 148 159 212 222 293 296 318 424 444 586 592 636 848 879 888 1172 1184 1272 1696 1758 1776 1961 2344 2544 3516 3552 3922 4688 5088 5883 7032 7844 9376 10841 11766 14064 15529 15688 21682 23532 28128 31058 31376 32523 43364 46587 47064 62116 62752 65046 86728 93174 94128 124232 130092 173456 186348 188256 248464 260184 346912 372696 496928 520368 574573 745392 1040736 1149146 1490784 1723719 2298292 3447438 4596584 6894876 9193168 13789752 18386336 27579504 55159008