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55536264 = 233271011091
BaseRepresentation
bin1101001111011…
…0101010001000
310212111112102200
43103312222020
5103204130024
65302200200
71243023210
oct323665210
9125445380
1055536264
1129392243
1216723060
13b6762c4
147539240
154d202c9
hex34f6a88

55536264 has 96 divisors (see below), whose sum is σ = 173759040. Its totient is φ = 15696000.

The previous prime is 55536253. The next prime is 55536293. The reversal of 55536264 is 46263555.

It is a happy number.

55536264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 50359 + ... + 51449.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 255536264 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 55536264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86879520).

55536264 is an abundant number, since it is smaller than the sum of its proper divisors (118222776).

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

55536264 is a wasteful number, since it uses less digits than its factorization.

55536264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1204 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 55536264 is about 7452.2656957465. The cubic root of 55536264 is about 381.5272424344.

The spelling of 55536264 in words is "fifty-five million, five hundred thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1091 1212 1414 1818 2121 2182 2424 2828 3273 3636 4242 4364 5656 6363 6546 7272 7637 8484 8728 9819 12726 13092 15274 16968 19638 22911 25452 26184 30548 39276 45822 50904 61096 68733 78552 91644 110191 137466 183288 220382 274932 330573 440764 549864 661146 771337 881528 991719 1322292 1542674 1983438 2314011 2644584 3085348 3966876 4628022 6170696 6942033 7933752 9256044 13884066 18512088 27768132 55536264